1. What is a right triangle? A triangle with a right angle

2. What are the names of the sides on a right triangle? legs hypotenuse The hypotenuse of a right triangle is the longest side. The hypotenuse is always the side opposite of the right angle. The legs of a right triangle are the two shortest sides. The legs are always the two sides intersecting at the right angle.

3. Square the side lengths of the following right triangle. What relationship exists with the squared side lengths? 3in 4in 5in

4. Let's see if this relationship works with other right triangles... 5m 12m 13m 8ft 15ft 17ft

5. ·Draw a right triangle on your centimeter graph paper. ·Label the lengths of the two legs. ·Measure (to the nearest tenth of a cm) and label the length of the hypotenuse. ·Square each side length and see if the same relationship exists with the triangle you drawn as the previous triangles. ·Share your results with your partner. leg hypotenuse

6. What conclusion can we make about the side lengths of all right triangles?

7. The Pythagorean Theorem The Pythagorean Theorem states that all right triangles will satisfy the equation a 2 + b 2 = c 2. a2 + b2 = c2 a b c

8. Use the Pythagorean Theorem to determine if these are possible side lengths of a right triangle. 6mm 8mm 12ft 37ft 10 mm 35ft 8in 4in