Pythagorean Theorem. Right Triangle 90 degree angle Two short sides called legs One longer side called HYPOTENUSE.

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Presentation transcript:

Pythagorean Theorem

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

See for yourself Trace and cut out the large square in a different color. The red that shows through has an area c 2

See for yourself Move the triangles as shown Now the red that shows through is a 2 +b 2

a 2 +b 2 =c 2 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?

a 2 +b 2 =c 2 What is the measurement of a leg of a right triangle if one leg is 30 ft and the hypotenuse is 34 ft?