Question

A triangle has two sides of length 8 and 10. What value could the length of the third side be? Check all that apply. A. 18B. 7 I know this is one of the right answers because I was given the answer but I don't understand the method I was given C. 10D. 4E 20F. 8

Answer 1

By triangle inequality theorem:

This theorem states that the sum of any two sides of a triangle must be greater than the third side.

A triangle has two sides of lengths 8 and 10.

Let third side be x.

Sum of the two sides is:

8 + 10 = 18

By triangle inequality theorem:

18 > x

or

x < 18

so 7, 4, ,10