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.

   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
2. 2.

   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
3. 3.

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

   11
4. 4.

   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
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 blue sides
   • the blue and green sides
   • the red 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 blue and green sides
   • the red and blue sides
   • the red 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?

   • 45² + 53² = 28²
   • 28² + 45² = 53²
   • 28² + 53² = 45²
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
   • 60² + 61² = 11²
   • 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?

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