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?

   • 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.
   • 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.
2. 2.

   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?

   • 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.

   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: 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.
   • 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.
4. 4.

   Noah's triangle has sides of 4, 7 and √65 cm. 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.
   • 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, because √65 cannot be squared.
5. 5.

   Pia draws a triangle with sides 3, 5 and √30 cm. Is it a right triangle?

   • No, it is not a right triangle, because √30 cannot be squared.
   • 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.
   • Yes, it is a right triangle: the squares on the two shorter sides 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, because √40 cannot be squared.
   • 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.
7. 7.

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

   • 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, because √50 cannot be squared.
   • 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.

   Zee tests a paper triangle with sides 36, 77 and 85 cm, and it passes: it is a right triangle. Where is the right angle?

   • The corner where the sides of 36 and 85 cm meet
   • The corner where the sides of 77 and 85 cm meet
   • The corner where the sides of 36 and 77 cm meet
9. 9.

   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 84 and 85 cm meet
   • The corner where the sides of 13 and 84 cm meet
   • The corner where the sides of 13 and 85 cm 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 60 and 87 cm meet
    • The corner where the sides of 63 and 87 cm meet
    • The corner where the sides of 60 and 63 cm meet