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Pythagorean Theorem

Pythagorean Theorem. 5-5-2. Right Triangle. 90 degree angle Two short sides called legs One longer side called HYPOTENUSE. See for yourself. Cut out four identical right triangles Label hypotenuse c Label one leg a Label the other leg b on all triangles. See for yourself. Arrange them.

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Pythagorean Theorem

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  1. Pythagorean Theorem 5-5-2

  2. Right Triangle • 90 degree angle • Two short sides called legs • One longer side called HYPOTENUSE

  3. See for yourself • Cut out four identical right triangles • Label hypotenuse c • Label one leg a • Label the other leg b on all triangles

  4. See for yourself • Arrange them

  5. See for yourself • Trace and cut out the large square in a different color. • The red that shows through has an area c2

  6. See for yourself • Move the triangles as shown • Now the red that shows through is a2 +b2

  7. a2+b2=c2 • This works for all right triangles. • What part of the demonstration used the fact that we are dealing with right triangles? • A triangle with legs 40 in. and 42 in. would have what measurement for the hypotenuse?

  8. a2+b2=c2 • What is the measurement of a leg of a right triangle if one leg is 30 ft and the hypotenuse is 34 ft?

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