Can these sides and angles make a triangle?

Grade 7 Math Worksheet - Building Confidence

Circle the best answer.

1. 1.

   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?

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

   Luz stretches three pieces of yarn that are 13 cm, 9 cm and 4 cm long. Which describes the triangles Luz 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.

   Milo wants to draw a kite wing with angles of 35°, 55° and 90°. Which describes the triangles Milo can draw?

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

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

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

   • More than one triangle: different sizes or shapes fit
   • Exactly one triangle: only one size and shape fits
   • 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?

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

   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
   • Three angles
   • Two angles and the side between them
8. 8.

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

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

   Pia measures the three corners of a kite wing: 40°, 60° and 80°. What parts does Pia know?

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