Question

A triangle has two sides of lengths 4 and 15.What value could the length of the third side be? Check all that apply.. A:12 B:13 C:4 D:15 E:11 F:19

Answer 1

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

if a ≤ b ≤ c, then a + b > c.

A: 4, 12, 15

4 + 12 = 16 > 15    CORRECT :)

B: 4, 13, 15

4 + 13 = 17 > 15   CORRECT :)

C: 4, 4, 15

4 + 4 = 8 < 15   INCORRECT :(

D: 4, 15, 15

4 + 15 = 19 > 15  CORRECT :)

E: 4, 11, 15

4 + 11 = 15   INCORRECT :(

F: 4, 15, 19

4 + 15 = 19  INCORRECT :(

Answer: A: 12, B: 13, D; 15