Why a² + b² = c²: squares on the sides

Answer Key - Grade 8 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.

1. 1.

   Kira glues a paper square onto each side of a right triangle for an art project. What is the area of the big square on the hypotenuse, in square inches?

   625
2. 2.

   Bo sews a right-triangle quilt patch with a square patch on each side. The cat already wants to nap on it. What is the area of the big square patch, in square inches?

   400
3. 3.

   Jun lays a square of tiles on each side of a right triangle. What is the area of the big square of tiles, in square inches?

   1156
4. 4.

   Luz draws a right triangle on a poster with crayons, then a square on each side. What is the area of the big square on the hypotenuse, in square cm?

   900
5. 5.

   Milo's drawing robot draws a right triangle with a square on each side, then beeps proudly. How long is the hypotenuse, in cm?

   10
6. 6.

   Pia's math book shows a right triangle with squares on its legs. How long is the hypotenuse, in cm?

   12
7. 7.

   Ren's garden club plans square beds beside a right-triangle path. How long is the hypotenuse, in feet?

   14
8. 8.

   Tala looks at the side of a wheelchair ramp. It is a right triangle. The hypotenuse is the side across from the right angle. Which side is the hypotenuse?

   • the green side
   • the blue side, the longest one
   • the red side
9. 9.

   Zee cuts a square sandwich from corner to corner and turns one half over. The hypotenuse is the side across from the right angle. Which side is the hypotenuse?

   • the red side
   • the green side
   • the blue side
10. 10.

    Esme folds a square of paper corner to corner and holds the triangle point down. The hypotenuse is the side across from the right angle. Which side is the hypotenuse?

    • the green side
    • the blue side
    • the red side