Why a² + b² = c²: squares on the sides

Answer Key - Grade 8 Math Worksheet

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

1. 1.

   Bo's school garden is a right-triangle lawn with a square flower bed planned on each side. What is the area of the bed on the hypotenuse, in square feet?

   625
2. 2.

   Kira draws a right triangle on poster paper and a square on each side. What is the area of the square on the hypotenuse, in square cm?

   1369
3. 3.

   Milo marks a right-triangle sunflower patch with a square bed on each side. The sunflowers will be taller than everyone. What is the area of the bed on the hypotenuse, in square feet?

   106
4. 4.

   Noah's puzzle card shows a right triangle with a square on each leg. A gold star waits for the answer. How long is the hypotenuse, in cm?

   5
5. 5.

   Pia's robot draws squares on the legs of a right triangle and shows their areas. How long is the hypotenuse, in cm?

   15
6. 6.

   Tala's class plans square flower beds on the legs of a right-triangle lawn. How long is the hypotenuse of the lawn, in feet?

   14
7. 7.

   Zee's ladder leans on a wall. The wall, the ground and the ladder make a right triangle. The legs are the two sides that make the right angle. Which two sides are the legs?

   • the red and green sides
   • the blue and green sides
   • the red and blue sides
8. 8.

   Bo flies a kite. The string, the ground and a straight line down from the kite make a right triangle. Which two sides are the legs?

   • the red and green sides
   • the red and blue sides
   • the blue and green sides
9. 9.

   Luz cuts a right triangle from a long strip of paper. Which equation is true for the squares on its sides?

   • 11² + 61² = 60²
   • 60² + 61² = 11²
   • 11² + 60² = 61²
10. 10.

    Milo's book shows a right triangle turned on its side. Which equation is true for the squares on its sides?

    • 56² + 65² = 33²
    • 33² + 65² = 56²
    • 33² + 56² = 65²