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?

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

   Milo has three pieces of yarn that are 15 cm, 7 cm and 8 cm long. Which describes the triangles Milo 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.

   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
   • More than one triangle: different sizes or shapes fit
   • No triangle: nothing fits
4. 4.

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

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

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

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

9. Read this first

   Use this

   Table with three rows. Row A: angles 35°, 55° and 90°. Row B: sides 9 cm, 12 cm and 16 cm. Row C: angles 100° and 95° and the 7 cm side between them.

10. 9.

    Tala 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