Is it a right triangle? (the converse)

Grade 8 Math Worksheet - Challenge Me

Circle the best answer.

1. 1.

   Jun's class marks a triangle-shaped herb bed with sides of 1.5, 3.6 and 3.9 meters. Is it a right triangle?

   • No, it is not a right triangle: the squares on the two shorter sides do not add up to the square on the longest.
   • No, it is not a right triangle, because its sides are not whole numbers.
   • Yes, it is a right triangle: the squares on the two shorter sides add up to the square on the longest.
   • You cannot tell without measuring the angles.
2. 2.

   Kira's garden triangle has sides of 1.2, 3.5 and 3.7 meters. Is it a right triangle?

   • Yes, it is a right triangle: the squares on the two shorter sides add up to the square on the longest.
   • No, it is not a right triangle: the squares on the two shorter sides do not add up to the square on the longest.
   • You cannot tell without measuring the angles.
   • No, it is not a right triangle, because its sides are not whole numbers.
3. 3.

   Luz cuts a big paper triangle for a banner, with sides of 0.8, 1.5 and 1.8 meters. Is it a right triangle?

   • No, it is not a right triangle: the squares on the two shorter sides do not add up to the square on the longest.
   • Yes, it is a right triangle: the squares on the two shorter sides add up to the square on the longest.
   • You cannot tell without measuring the angles.
   • No, it is not a right triangle, because its sides are not whole numbers.
4. 4.

   Milo's kite frame is a triangle with sides of 1.4, 2 and 2.5 meters. Is it a right triangle?

   • No, it is not a right triangle, because its sides are not whole numbers.
   • You cannot tell without measuring the angles.
   • Yes, it is a right triangle: the squares on the two shorter sides add up to the square on the longest.
   • No, it is not a right triangle: the squares on the two shorter sides do not add up to the square on the longest.
5. 5.

   Noah's triangle has sides of 4, 7 and √65 cm. Is it a right triangle?

   • No, it is not a right triangle, because √65 cannot be squared.
   • Yes, it is a right triangle: the squares on the two shorter sides add up to the square on the longest.
   • You cannot tell without measuring the angles.
   • No, it is not a right triangle: the squares on the two shorter sides do not add up to the square on the longest.
6. 6.

   Ren's math book shows a triangle with sides 2, 6 and √40 inches. Is it a right triangle?

   • No, it is not a right triangle: the squares on the two shorter sides do not add up to the square on the longest.
   • Yes, it is a right triangle: the squares on the two shorter sides add up to the square on the longest.
   • No, it is not a right triangle, because √40 cannot be squared.
   • You cannot tell without measuring the angles.
7. 7.

   Tala's robot draws a triangle with sides 5, 6 and √50 cm. Is it a right triangle?

   • No, it is not a right triangle, because √50 cannot be squared.
   • Yes, it is a right triangle: the squares on the two shorter sides add up to the square on the longest.
   • You cannot tell without measuring the angles.
   • No, it is not a right triangle: the squares on the two shorter sides do not add up to the square on the longest.
8. 8.

   Ari's pencil triangle has sides 13, 84 and 85 cm, and it is a right triangle. Where is the right angle?

   • The corner where the sides of 13 and 84 cm meet
   • The corner where the sides of 84 and 85 cm meet
   • The corner where the sides of 13 and 85 cm meet
9. 9.

   A quilt patch is a right triangle with sides 39, 80 and 89 inches. Bo wants to sew the square corner first. Where is the right angle?

   • The corner where the sides of 39 and 80 inches meet
   • The corner where the sides of 39 and 89 inches meet
   • The corner where the sides of 80 and 89 inches meet
10. 10.

    Esme cuts a right triangle with sides 60, 63 and 87 cm. Where is the right angle?

    • The corner where the sides of 63 and 87 cm meet
    • The corner where the sides of 60 and 63 cm meet
    • The corner where the sides of 60 and 87 cm meet