Can these sides and angles make a triangle?

Grade 7 Math Worksheet - Building Confidence

Circle the best answer.

1. 1.

   Ari cuts three paper strips that are 11 cm, 6 cm and 8 cm long. Which describes the triangles Ari can build with them as sides?

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

   • No triangle: nothing fits
   • More than one triangle: different sizes or shapes fit
   • 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?

   • No triangle: nothing fits
   • Exactly one triangle: only one size and shape 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.

   Noah wants to draw a toy boat sail with angles of 50°, 60° and 80°. Which describes the triangles Noah can draw?

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

   Pia wants to draw a tent end with angles of 45°, 50° and 85°. Which describes the triangles Pia can draw?

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

   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?

   • More than one triangle: different sizes or shapes fit
   • Exactly one triangle: only one size and shape fits
   • No triangle: nothing fits
8. 8.

   Bo sketches a side of 9 cm, then wants angles of 120° and 80° at its two ends. Which describes the triangles Bo can draw?

   • No triangle: nothing fits
   • Exactly one triangle: only one size and shape fits
   • More than one triangle: different sizes or shapes fit
9. 9.

   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?

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

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

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