Can these sides and angles make a triangle?

Grade 7 Math Worksheet

Circle the best answer.

1. 1.

   Luz lines up three paper strips that are 9 cm, 6 cm and 20 cm long. Which describes the triangles Luz 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.

   Pia wants to draw a ramp end with angles of 25°, 65° and 90°. 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
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
   • Exactly one triangle: only one size and shape fits
   • More than one triangle: different sizes or shapes fit
4. 4.

   Tala wants to draw a house roof end with angles of 48°, 52° and 80°. 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
5. 5.

   Ari wants to draw a toy boat sail with angles of 90°, 50° and 60°. Which describes the triangles Ari 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.

   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?

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

   Jun knows two angles, 73° and 81°, and a 6 cm side that is not between them. Which describes the triangles Jun 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.

   Pia draws two sides of 10 cm and 15 cm that meet at an angle of 150°. 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

9. Read this first

   Use this

   Table with three rows. Row A: angles 46° and 58° and the 10 cm side between them. Row B: angles 20°, 70° and 90°. Row C: sides 4 cm, 6 cm and 11 cm.

10. 9.

    Zee 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

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