Can these sides and angles make a triangle?

Answer Key - Grade 7 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

1. 1.

   Kira sketches a ramp side: one angle of 30°, the 8 cm side next to it, and the 11 cm side across from it. Which describes the triangles Kira can draw?

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

   Luz sketches a toy boat sail: one angle of 30°, the 16 cm side next to it, and the 5 cm side across from it. Which describes the triangles Luz can draw?

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

   Noah draws a triangle on paper: one angle of 30°, the 6 cm side next to it, and the 9 cm side across from it. 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
4. 4.

   Zee has two paper strips, 4 cm and 13 cm, for two sides of a triangle. The third side is a whole number of centimeters. How many different lengths could it be?

   7
5. 5.

   Bo draws a tent end with one angle of 65°. A second angle is a whole number of degrees. What is the largest that second angle can be, in degrees?

   114
6. 6.

   Esme draws a toy boat sail with one angle of 25°. A second angle is a whole number of degrees. What is the largest that second angle can be, in degrees?

   154

7. Read this first

   Use this

   Three sets of measures are listed in the choices. No picture is drawn.

8. 7.

   Noah has three sets of measures for a triangle. Which set can build more than one triangle?

   • Sides of 6 cm, 7 cm and 9 cm
   • Two angles of 62° and 48° and the 8 cm side between them
   • Angles of 30°, 60° and 90°
9. 8.

   Pia has three sets of measures for a triangle. Which set can build more than one triangle?

   • Two angles of 55° and 75° and the 11 cm side between them
   • Angles of 36°, 54° and 90°
   • Sides of 9 cm, 10 cm and 24 cm
10. 9.

    Ren has three sets of measures for a triangle. Which set can build more than one triangle?

    • Sides of 10 cm, 11 cm and 15 cm
    • Angles of 50°, 50° and 80°
    • Angles of 60°, 70° and 60°
11. 10.

    Tala has three sets of measures for a triangle. Which set can build more than one triangle?

    • Sides of 14 cm, 15 cm and 30 cm
    • Angles of 70°, 40° and 70°
    • Angles of 80°, 75° and 90°