2.  Remember the pattern for right triangles: Area of small square + Area of medium square = Area of large square

3. a) 3 in., 5 in., and 8 in. 9 + 25 = 64 34 ≠ 64 not a right triangle b) 3 m, 4 m, and 5 m 9 + 16 = 25 25 = 25 right triangle c) 4 cm, 6 cm, and 8 cm 16 + 36 = 64 52 ≠ 64 not a right triangle

4. 9 + 34 = ? ? = 43 8 + 12 = ? ? = 20 10 + ? = 25 ? = 15

5.  The relationship that we have discovered between the sides of right triangles is called the Pythagorean Theorem.  It allows us to determine if a triangle is a right triangle and to find missing side lengths when we know that the triangle is a right triangle.

6.  legs = › the sides that create the right angle › “hold up” the right angle like legs to a table › the two shorter sides leg

7.  hypotenuse = › the side across from the right angle › does not touch the right angle › the longest side of the triangle hypotenuse

8.  area of small square + area of medium square = area of large square  leg² + leg² = hypotenuse²

9. or a² + b² = c²

10. x 5 cm 13 cm

11.  Don’t forget to identify the legs and hypotenuse  Plug the values into the formula  Solve  Get a star after each row is completed