Can these sides and angles make a triangle?

Grade 7 Math Worksheet

Circle the best answer.

1. 1.

   Kira has three pieces of yarn (one is fluffy) that are 7 cm, 16 cm and 5 cm long. Which describes the triangles Kira 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.

   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?

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

   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
4. 4.

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

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

   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
6. 6.

   Luz draws a side of 9 cm, then wants angles of 125° and 60° at its two ends. Which describes the triangles Luz 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?

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

8. 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.

9. 8.

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

   • Row A
   • Row B
   • Row C

10. 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.

11. 9.

    Ari 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

12. 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.

13. 10.

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

    • Row A
    • Row B
    • Row C