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.

   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
2. 2.

   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
3. 3.

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

   15
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.

   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
6. 6.

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

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

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

   • 28² + 45² = 53²
   • 28² + 53² = 45²
   • 45² + 53² = 28²
9. 9.

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

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

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

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