Can these sides and angles make a triangle?

Grade 7 Math Worksheet - Building Confidence

Circle the best answer.

1. 1.

   Bo has three pieces of yarn that are 9 cm, 12 cm and 7 cm long. Which describes the triangles Bo can build with them as sides?

   • No triangle: nothing fits
   • Exactly one triangle: only one size and shape fits
   • More than one triangle: different sizes or shapes fit
2. 2.

   Esme tears three paper strips (one is very sparkly) that are 6 cm, 3 cm and 12 cm long. Which describes the triangles Esme can build with them as sides?

   • More than one triangle: different sizes or shapes fit
   • No triangle: nothing fits
   • Exactly one triangle: only one size and shape fits
3. 3.

   Jun ties off three pieces of yarn that are 14 cm, 4 cm and 5 cm long. Which describes the triangles Jun can build with them as sides?

   • Exactly one triangle: only one size and shape fits
   • No triangle: nothing fits
   • More than one triangle: different sizes or shapes fit
4. 4.

   Kira folds three paper strips that are 9 cm, 14 cm and 5 cm long. Which describes the triangles Kira can build with them as sides?

   • No triangle: nothing fits
   • More than one triangle: different sizes or shapes fit
   • Exactly one triangle: only one size and shape fits
5. 5.

   Tala draws a side of 8 cm, then wants angles of 50° and 70° at its two ends. Which describes the triangles Tala can draw?

   • Exactly one triangle: only one size and shape fits
   • More than one triangle: different sizes or shapes fit
   • No triangle: nothing fits
6. 6.

   Ari draws a side of 10 cm, then wants angles of 35° and 85° at its two ends. Which describes the triangles Ari can draw?

   • Exactly one triangle: only one size and shape fits
   • No triangle: nothing fits
   • More than one triangle: different sizes or shapes fit
7. 7.

   Jun measures a triangle on a map: a 5 cm side, a 7 cm side and a 40° angle where those two sides meet. What parts does Jun know?

   • Three sides
   • Two sides and the angle between them
   • Two sides and an angle not between them
8. 8.

   Noah draws a toy boat sail. Noah knows angles of 30° and 60°, and the 9 cm side that joins their two corners. What parts does Noah know?

   • Three angles
   • Two angles and the side between them
   • Two sides and the angle between them
9. 9.

   Zee measures the three edges of a tent end: 6 cm, 8 cm and 10 cm. What parts does Zee know?

   • Two sides and the angle between them
   • Three angles
   • Three sides
10. 10.

    Esme draws a 6 cm side, a 9 cm side and a 30° angle. The angle is not where the two sides meet. What parts does Esme know?

    • Three angles
    • Two sides and the angle between them
    • Two sides and an angle not between them