Question

Which of the following list of side lengths could form a triangle?

a. 10, 12, and 25

b. 5, 6, and 12

c. 2, 2, and 4

d. 4, 5, and 6

Answer 1

d. 4, 5, and 6

Explanation:

The sum of the lengths of the two shorter sides must be greater than that of the longest side.

4 + 5 > 6

a. is wrong. 10 + 12 ≯ 25.

b. is wrong. 5 + 6 ≯ 12.

c. is wrong. 2 + 2 ≯ 4