Question

Which set of segment lengths could be used to construct a triangle? A) 3, 7, 12 B) 5, 7, 17 C) 5, 3, 12 D) 12, 6, 10

Answer 1

D) 12, 6, 10

Explanation:

If a,b and c are the sides of a triangle, then

a + b > c

a + c > b

b + c > a

If a ≥ b ≥ c then a + b > c.

A) 3, 7, 12

3 + 7 = 10 < 12 NOT

B) 5, 7, 17

5 + 7 = 12 < 17 NOT

C) 3, 5, 12

3 + 5 = 8 < 12 NOT

D) 6, 10, 12

6 + 10 = 16 > 12 YES