Question

A triangle has two sides of lengths 4 and 7. What value could the length of

the third side be? Check all that apply.
A. 11
B. 5
C. 17
D. 9
E. 3
F. 7

Answer 1

B. 5

D. 9

F. 7

Explanation:

A triangle has sides a,b and c:

And a < b+c , b < a+c and c < b+a

Here, a = 4 and b = 7

Find c?

So, 4 < 7+c , 7 < 4+c and c < 4+7=11

A. 11 False, it doesn't satisfies inequality third

B. 5 True

C. 17 False, it doesn't satisfies inequality third

D. 9 True

E. 3 Not true it doesn't satisfies second inequality

F. 7 True