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.

   Ren's math book shows a right triangle with a square on each leg. How long is the hypotenuse, in inches?

   11
5. 5.

   Ari's park map shows three straight paths that 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 red and blue sides
   • the blue and green sides
6. 6.

   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 blue sides
   • the blue and green sides
   • the red and green sides
7. 7.

   A tree, its shadow and a sun ray from the treetop make a right triangle in Esme's sketch. The legs are the two sides that make the right angle. Which two sides are the legs?

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

   Jun's math book shows a right triangle standing on its longest side. Which equation is true for the squares on its sides?

   • 40² + 41² = 9²
   • 9² + 41² = 40²
   • 9² + 40² = 41²
9. 9.

   Kira draws a right triangle and labels its sides with a sharp pencil. Which equation is true for the squares on its sides?

   • 28² + 53² = 45²
   • 28² + 45² = 53²
   • 45² + 53² = 28²
10. 10.

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

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