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.

   Jun plans a quilt: a right-triangle patch with a square patch on each side. What is the area of the square patch on the hypotenuse, in square inches?

   841
3. 3.

   Luz builds a tile pattern: a right triangle with a square of tiles on each side. What is the area of the square on the hypotenuse, in square inches?

   65
4. 4.

   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
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.

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

   11
7. 7.

   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
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?

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

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

   • 60² + 61² = 11²
   • 11² + 60² = 61²
   • 11² + 61² = 60²
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
    • 33² + 56² = 65²
    • 56² + 65² = 33²