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.

   Jun plans a tent end: one angle of 30°, the 10 cm side next to it, and the 7 cm side across from it. Which describes the triangles Jun can draw?

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

   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?

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

   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?

   • More than one triangle: different sizes or shapes fit
   • No triangle: nothing fits
   • Exactly one triangle: only one size and shape fits
4. 4.

   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
5. 5.

   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
6. 6.

   Ari draws a kite wing with one angle of 40°. A second angle is a whole number of degrees. What is the largest that second angle can be, in degrees?

   139
7. 7.

   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
8. 8.

   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

9. Read this first

   Use this

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

10. 9.

    Milo has three sets of measures for a triangle. Which set can build exactly one triangle?

    • Two angles of 96° and 84° and the 10 cm side between them
    • Sides of 13 cm, 14 cm and 20 cm
    • Angles of 65°, 50° and 65°
11. 10.

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

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