Pythagorean Theorem Lesson

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Pythagorean Theorem Lesson

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Pythagorean Theorem Lesson

  1. 1. Introduction<br />Introduction<br />
  2. 2. The Pythagorean Theorem<br />
  3. 3. Upon completing this lesson you will be able to:<br />Identify sides of Right Triangle as either Legs or Hypotenuse<br />Explain the Pythagorean Theorem<br />Apply Pythagorean Theorem to find length of the sides of Right Triangles<br />
  4. 4. Recall: TrianglesClassified In Two Ways<br />Size of Angle<br />Acute-All Angles less than 90 degrees <br />Obtuse-One Angle Over 90 degrees<br />Right-One 90 degree angle<br />Length of Sides<br />Equilateral-All three sides equal in length<br />Isosceles-Two sides of equal length<br />Scalene-No sides of equal length<br />
  5. 5. Right Triangle<br />LEG<br />HYPOTENUSE<br />LEG<br />90°<br />
  6. 6. Pythagorean Theorem <br />a2 + b2 = c2<br />HYPOTENUSE<br />LEG<br />c<br />a<br />b<br />LEG<br />
  7. 7. Pythagorean Theorem<br /> Legs<br /> - Two sides (a and b) that form the right angle<br />Hypotenuse<br /> - Side opposite the right angle; called c<br />Formula<br />a2 + b2 = c2<br />
  8. 8. Apply Theorem<br />a=3<br />C=?<br />b=4<br />a² + b² = c²<br />3²+ 4²= c²<br />9 + 16 = c²<br />25 = c²<br />c = 5<br />
  9. 9. More Practice<br />4² + 5² = C²<br />a2 + b2 = c2<br />16 + 25 = C²<br />C=?<br />41 = C²<br /> A=4<br />√41 = C<br />B=5<br />3² + 6² = C²<br />9 + 36 = C²<br />C=?<br />45 = C²<br />B=3<br />√45 = C<br />A=6<br />
  10. 10. Evaluation<br />Identify the sides of each triangle as either legs or hypotenuse<br />(assume all shapes are right triangles)<br />
  11. 11. Evaluation<br />Complete the five equations with a partner (assume all shapes are right triangles and Show Your Work)<br />1) 2) 3)<br />4) 5)<br />c=?<br />c=?<br />a=4<br />a=2<br />a=6<br />c=?<br />b=5<br />b=7<br />b=3<br />c=?<br />a=1<br />c=?<br />a=4<br />b=9<br />b=8<br />

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