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Kuta Software - Infinite Geometry                                                                                                              Name___________________________________

                        Solving Right Triangles                                                                                                                                                  Date________________ Period____

                        Find the missing side. Round to the nearest tenth.

                        1)                                                                                                                                    2)


                                      x                                                                                                                            6



                                       72°                                                                                                                         73°
                                          6                                                                                                                            x




                        3)                                                                                                                                    4)
                                                                                   x
                                                                                                                                                                                             x
                                                  24°
                                                       12                                                                                                                  37°
                                                                                                                                                                               12




                        5)                                                                                                                                    6)

                                                                  14                                                                                                       x
                                                                                                                                                                                        14

                                          49°                                                                                                                          51°
                                                x




                        7)                                                                                                                                    8)
                                                                                                                                                                                    x
                                                                                                                                                                                                   16
                                                                                                                                                                                 15°
                                         x                 16


                                        63°




©n a2A0r1X2w ZKmurtHab gSFoGfWtawjaJrmeb OLQLnCl.k I TA0lylC Zrbi8gYhptnso VrMeTskelrcvieKdm.I a TMJajdTeI xwFiytvhQ mI9nSfdinnIi6tYeU hGHe9oSmeeGtkrSy6.Q   -1-                                                        Worksheet by Kuta Software LLC
Kuta Software - Infinite Geometry                                                                                                           Name___________________________________

                        Multi-Step Trig. Problems                                                                                                                                        Date________________ Period____

                        Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded
                        values to calculate the next value. Round your final answer to the nearest tenth.

                        1)                                                                                                                                    2)
                                                                                                                                                                              61°
                                                                                                                                                                        35°
                                                                                                    x


                                                                                                60°
                                                                                                                                                                    9                    x
                                          39°
                                                        38




                        3)                                                                                                                                    4)
                                                     23                      101°
                                                                                                    x                                                                         71°


                                                                                               50°
                                                                                                                                                                   12                        x



                                                                                                                                                                                                 44°




                        Find the area of each triangle. Round intermediate values to the nearest tenth. Use the rounded values
                        to calculate the next value. Round your final answer to the nearest tenth.

                        5)                                                                                                                                    6)
                                                                               70°                                                                                                 65°
                                                                                                                                                                             50°
                                                                                              44°
                                                          46                                                                                                            41




©P E2A0P1H29 eKouBtWaZ cSJoLfztZwXaQrwet nLgLFCQ.S O JA4lslW 1rliLg0hFt5sG Hr4epshe2rhvoeXdY.K n GMCaXdfeb Mw8ijtghA vIun1fUi8nBiMtIeq eGQeAoWmNe9tIroyg.G   -1-                                                Worksheet by Kuta Software LLC
7)                                                                                                                                   8)
                                                          52°

                                                                                             30°
                                                                                     29                                                                             29°         70°
                                                                                                                                                                                32




                         9)                                                                                                                                   10)
                                   20               68°

                                                                                                                                                                    33    30°
                                         60°



                                                                                                                                                                                42°




                         11)                                                                                                                                  12)
                                                                                         68°

                                                           37                                                                                                             44



                                                                                                       70°                                                          45°          66°




©g A2r0Q1i2g QKCuUtbaW fSfo7fDt8wma5r6eP CLoLdCV.p G 1AqlrlB GrViEgMhktzsw wrEegsCeorJvyeid5.2 p sMsaLdfeI cwPiitCh3 zIgnjfIiJnqiYtgeI YGCeUogmlemtDrDyk.T   -2-                       Worksheet by Kuta Software LLC
9)                                                                                                                                   10)
                                             29                                                                                                                               x               21
                                                                           x
                                                                                                                                                                                        68°
                                                                    55°




                         11)                                                                                                                                  12)
                                              x                                                                                                                                   21°
                                                                                                                                                                    x
                                                                                                                                                                                  22



                                        29
                                                  19°




                         13)                                                                                                                                  14)
                                                           29
                                                                                                                                                                                   35
                                                                    33°
                                         x                                                                                                                              45°
                                                                                                                                                                              x




                         15)                                                                                                                                  16)
                                                                                                                                                                                        34
                                               47°              x
                                      28                                                                                                                                           59°
                                                                                                                                                                              x




                         Critical thinking question:

                         17) Write a new problem that is similar to the
                             others on this worksheet. Solve the
                             question you wrote.




©m F260c1k2U yKiuHtdai pS9o8f9tMwCaOr8eg ILXL6Cu.Y 4 4A3lelW Zr9iOgyhPtTsO 1rpeTsSenr6vTeKdD.R n 2MkaodmeI IwpiPtihg oICn5fyiNniiZteeU JGlecogmjeQt3rRyZ.4   -2-                                   Worksheet by Kuta Software LLC

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9.1 9.2 solving triangles and multi step (no key)

  • 1. Kuta Software - Infinite Geometry Name___________________________________ Solving Right Triangles Date________________ Period____ Find the missing side. Round to the nearest tenth. 1) 2) x 6 72° 73° 6 x 3) 4) x x 24° 12 37° 12 5) 6) 14 x 14 49° 51° x 7) 8) x 16 15° x 16 63° ©n a2A0r1X2w ZKmurtHab gSFoGfWtawjaJrmeb OLQLnCl.k I TA0lylC Zrbi8gYhptnso VrMeTskelrcvieKdm.I a TMJajdTeI xwFiytvhQ mI9nSfdinnIi6tYeU hGHe9oSmeeGtkrSy6.Q -1- Worksheet by Kuta Software LLC
  • 2. Kuta Software - Infinite Geometry Name___________________________________ Multi-Step Trig. Problems Date________________ Period____ Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth. 1) 2) 61° 35° x 60° 9 x 39° 38 3) 4) 23 101° x 71° 50° 12 x 44° Find the area of each triangle. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth. 5) 6) 70° 65° 50° 44° 46 41 ©P E2A0P1H29 eKouBtWaZ cSJoLfztZwXaQrwet nLgLFCQ.S O JA4lslW 1rliLg0hFt5sG Hr4epshe2rhvoeXdY.K n GMCaXdfeb Mw8ijtghA vIun1fUi8nBiMtIeq eGQeAoWmNe9tIroyg.G -1- Worksheet by Kuta Software LLC
  • 3. 7) 8) 52° 30° 29 29° 70° 32 9) 10) 20 68° 33 30° 60° 42° 11) 12) 68° 37 44 70° 45° 66° ©g A2r0Q1i2g QKCuUtbaW fSfo7fDt8wma5r6eP CLoLdCV.p G 1AqlrlB GrViEgMhktzsw wrEegsCeorJvyeid5.2 p sMsaLdfeI cwPiitCh3 zIgnjfIiJnqiYtgeI YGCeUogmlemtDrDyk.T -2- Worksheet by Kuta Software LLC
  • 4. 9) 10) 29 x 21 x 68° 55° 11) 12) x 21° x 22 29 19° 13) 14) 29 35 33° x 45° x 15) 16) 34 47° x 28 59° x Critical thinking question: 17) Write a new problem that is similar to the others on this worksheet. Solve the question you wrote. ©m F260c1k2U yKiuHtdai pS9o8f9tMwCaOr8eg ILXL6Cu.Y 4 4A3lelW Zr9iOgyhPtTsO 1rpeTsSenr6vTeKdD.R n 2MkaodmeI IwpiPtihg oICn5fyiNniiZteeU JGlecogmjeQt3rRyZ.4 -2- Worksheet by Kuta Software LLC