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- 1. Welcome to Math Class! <ul><li>Today we will learn how to solve for missing lengths of the sides of right triangles. </li></ul>1 2 ???
- 2. Right Triangles!!! <ul><li>Words to define: </li></ul><ul><ul><li>Right Angle : A 90 degree angle </li></ul></ul><ul><ul><li>Hypotenuse : The longest side of the triangle opposite the right angle </li></ul></ul><ul><ul><li>Interior Angle : An angle on the inside of the triangle </li></ul></ul><ul><ul><li>Exterior Angle : An angle created by an extension of a side and a side </li></ul></ul>
- 3. Defining Terms Hypotenuse Right Angle Interior Angle Exterior Angle
- 4. Pythagorean Theorem <ul><li>A^2 + B^2 = C^2 where A and B are the legs and C is the hypotenuse of the triangle. </li></ul><ul><li>Ex. </li></ul>3 4 ? 3^2 + 4^2 = C^2 9 + 16 = C^2 25 = C^2 5 = C Extra Practice available at http://www.cut-the-knot.org/pythagoras/
- 5. PRACTICE!!! 5 12 X 6 8 Y 15 12 Z X= Y= Z=
- 6. Exterior & Interior Angles and the Sum of the Interior Angles of a Triangle <ul><li>The interior angles of any angle always sum to 180°. Ex. X+Y+Z=180 </li></ul><ul><li>The exterior angle of a triangle is supplementary to the interior angle at that vertex. </li></ul>X° Y° Z° (180-X)°
- 7. PRACTICE!!! 134° X° Y ° 62° X = Y =
- 8. Standards: 9th Grade Geometry <ul><li>12.0 Students find and use measures of sides and of exterior and interior angles of triangles to solve problems. </li></ul><ul><li>15.0 Students use the Pythagorean Theorem to find missing lengths of the sides of a right triangle </li></ul>

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