Can these sides and angles make a triangle?

Grade 7 Math Worksheet

Circle the best answer.

1. 1.

   Esme cuts three paper strips that are 10 cm, 13 cm and 8 cm long. Which describes the triangles Esme 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.

   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?

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

   Tala wants to draw a house roof end with angles of 48°, 52° and 80°. 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
4. 4.

   Zee wants to draw a tent end with angles of 45°, 45° and 95°. Which describes the triangles Zee can draw?

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

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

   Noah sketches two sides of 7 cm and 7 cm that meet at an angle of 100°. Which describes the triangles Noah 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.

   Pia draws two sides of 10 cm and 15 cm that meet at an angle of 150°. Which describes the triangles Pia can draw?

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

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 A
    • Row C