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
   • More than one triangle: different sizes or shapes fit
   • Exactly one triangle: only one size and shape fits
2. 2.

   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?

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

   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
   • More than one triangle: different sizes or shapes fit
   • Exactly one triangle: only one size and shape fits
4. 4.

   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
   • No triangle: nothing fits
   • Exactly one triangle: only one size and shape fits
5. 5.

   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
6. 6.

   Tala wants to draw a house roof end with angles of 48°, 52° and 80°. Which describes the triangles Tala 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.

   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?

   • More than one triangle: different sizes or shapes fit
   • Exactly one triangle: only one size and shape fits
   • No triangle: nothing fits
8. 8.

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

   • No triangle: nothing fits
   • Exactly one triangle: only one size and shape fits
   • More than one triangle: different sizes or shapes fit
9. 9.

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

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

10. 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.

11. 10.

    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