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.

   Esme's class plans a square flower bed on each side of a right-triangle lawn. What is the area of the bed on the hypotenuse, in square feet?

   676
4. 4.

   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
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.

   the same whole number in both boxes. Not to scale. Noah cuts paper squares to fit two sides of a right triangle. How long is the hypotenuse, in inches?

   8
7. 7.

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

   12
8. 8.

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

   14
9. 9.

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