Can these sides and angles make a triangle?

Grade 7 Math Worksheet

Circle the best answer.

1. 1.

   Jun sorts three pencils that are 20 cm, 9 cm and 11 cm long. Which describes the triangles Jun 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.

   Noah lays out three pencils that are 12 cm, 11 cm and 20 cm long. Which describes the triangles Noah 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
3. 3.

   Ren wants to draw a kite wing with angles of 35°, 60° and 75°. Which describes the triangles Ren can draw?

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

   Bo draws a side of 12 cm, then wants angles of 28° and 64° at its two ends. Which describes the triangles Bo can draw?

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

   Esme draws a side of 5 cm, then wants angles of 92° and 88° at its two ends. Which describes the triangles Esme can draw?

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

   Kira knows two angles, 110° and 85°, and a 7 cm side that is not between them. Which describes the triangles Kira can draw?

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

   Milo draws two sides of 9 cm and 12 cm that meet at an angle of 40°. Which describes the triangles Milo 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.

   Ren sketches two sides of 6 cm and 11 cm that meet at an angle of 20°. Which describes the triangles Ren can draw?

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

9. Read this first

   Use this

   Table with three rows. Row A: sides 7 cm, 9 cm and 16 cm. Row B: angles 120° and 60° and the 5 cm side between them. Row C: sides 8 cm and 14 cm with a 70° angle between them.

10. 9.

    Ari lists what three friends know about the triangle each wants to draw. Which row can build exactly one triangle?

    • Row C
    • Row A
    • Row B

11. Use this

    Table with three rows. Row A: angles 55°, 60° and 65°. Row B: sides 10 cm, 13 cm and 18 cm. Row C: sides 5 cm, 6 cm and 15 cm.

12. 10.

    Bo lists what three friends know about the triangle each wants to draw. Which row can build exactly one triangle?

    • Row B
    • Row C
    • Row A