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.

   Esme plans a kite wing: one angle of 30°, the 12 cm side next to it, and the 4 cm side across from it. Which describes the triangles Esme can draw?

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

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

   Milo plans a roof end: one angle of 30°, the 14 cm side next to it, and the 9 cm side across from it. Which describes the triangles Milo 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?

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

   Pia has two pieces of yarn, 5 cm and 12 cm, for two sides of a triangle. The third side is a whole number of centimeters. How many different lengths could it be?

   9
6. 6.

   Tala has two pieces of yarn, 7 cm and 10 cm, for two sides of a triangle. The third side is a whole number of centimeters. How many different lengths could it be?

   13
7. 7.

   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
8. 8.

   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

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?

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

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

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