Can three lengths make a triangle?

Answer Key - Grade 8 Math Worksheet - Challenge Me

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

1. 1.

   Jun cuts paper strips for an isosceles triangle. The base is 9.4 cm, and each equal side is a whole number of cm. What is the shortest each equal side can be?

   5
2. 2.

   Kira cuts paper strips for an isosceles triangle. The base is 12 cm, and each equal side is a whole number of cm. What is the shortest each equal side can be?

   7
3. 3.

   Luz cuts pieces of yarn for an isosceles triangle. The base is 7 cm, and each equal side is a whole number of cm. What is the shortest each equal side can be?

   4
4. 4.

   Noah cuts paper strips of (x + 2) cm, 7 cm and 12 cm for a triangle. So x is more than ? and less than ?. Type both numbers, smaller first.

   3, 17
5. 5.

   Pia cuts pieces of yarn of (x + 3) cm, 5.5 cm and 9 cm for a triangle. So x is more than ? and less than ?. Type both numbers, smaller first.

   0.5, 11.5
6. 6.

   Ren cuts paper strips of (x − 1) cm, 6 cm and 10 cm for a triangle. So x is more than ? and less than ?. Type both numbers, smaller first.

   5, 17
7. 7.

   Tala cuts pieces of yarn of 2x cm, 8 cm and 14 cm for a triangle. So x is more than ? and less than ?. Type both numbers, smaller first.

   3, 11
8. 8.

   Zee's triangle of paper strips has sides of 5 cm and 9 cm and a third side that works. Its perimeter is more than ? cm and less than ? cm. Smaller first.

   18, 28
9. 9.

   Ari's triangle of pieces of yarn has sides of 3.5 cm and 6 cm and a third side that works. Its perimeter is more than ? cm and less than ? cm. Smaller first.

   12, 19
10. 10.

    Esme's triangle of pencils has sides of 4.5 cm and 10 cm and a third side that works. Its perimeter is more than ? cm and less than ? cm. Smaller first.

    20, 29