Is it a right triangle? (the converse)

Answer Key - Grade 8 Math Worksheet - Building Confidence

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

1. 1.

   Bo cuts a paper triangle with sides of 9, 4 and 8 cm. What do the squares on the two shorter sides add up to, in square cm?

   80
2. 2.

   Esme trims a felt triangle with sides of 6, 11 and 9 inches. What do the squares on the two shorter sides add up to, in square inches?

   117
3. 3.

   Kira's class ropes off a triangle-shaped flower bed with sides of 11, 7 and 8 feet. What do the squares on the two shorter sides add up to, in square feet?

   113
4. 4.

   Luz's robot draws a triangle with sides of 40, 50 and 30 cm, then beeps twice. What do the squares on the two shorter sides add up to, in square cm?

   2500
5. 5.

   Pia builds squares of tiles on the sides of a triangle: 64, 24 and 40 square inches. Is the triangle a right triangle?

   • It is a right triangle, because one square is much bigger than the other two.
   • It is not a right triangle: the two smaller squares do not add up to the biggest one.
   • You cannot tell without measuring the angles.
   • It is a right triangle: the two smaller squares add up to the biggest one.
6. 6.

   Ren's math book shows squares of 36, 50 and 90 square cm on the sides of a triangle. Is the triangle a right triangle?

   • It is not a right triangle: the two smaller squares do not add up to the biggest one.
   • It is a right triangle, because one square is much bigger than the other two.
   • You cannot tell without measuring the angles.
   • It is a right triangle: the two smaller squares add up to the biggest one.
7. 7.

   Tala lists the sides of a triangle as 9, 4 and 7 cm. To test for a right angle, which square must the other two add up to?

   • The square on the side of 4 cm
   • The square on the side of 9 cm
   • The square on the side of 7 cm
8. 8.

   Zee's worksheet gives a triangle's sides as 12, 15 and 10 inches. To test for a right angle, which square must the other two add up to?

   • The square on the side of 10 inches
   • The square on the side of 12 inches
   • The square on the side of 15 inches
9. 9.

   A triangle on Ari's park map has sides of 6, 14 and 11 feet. To test for a right angle, which square must the other two add up to?

   • The square on the side of 14 feet
   • The square on the side of 11 feet
   • The square on the side of 6 feet
10. 10.

    Bo cuts a triangle with sides of 18, 13 and 8 cm. To test for a right angle, which square must the other two add up to?

    • The square on the side of 13 cm
    • The square on the side of 8 cm
    • The square on the side of 18 cm