Question

Which set of lengths could represent the sides of a triangle?

A. 3, 7, 10
B. 4, 5, 10
C. 6, 8, 14
D. 12, 6, 7

Answer 1

D. 12, 6, 7

Explanation:

For the triangle to have non-zero area, the sum of the shortest two sides must exceed the longest side.

A: 3 + 7 = 10 . . . . triangle has zero area

B: 4 + 5 < 10 . . . . sides don't meet

C: 6 + 8 = 14 . . . . triangle has zero area

D: 6 + 7 > 12 . . . . these form a triangle with non-zero area.