Question

Can i get help on this one ? im almost running our of points i would give 50 but i need more ;-; anyway

A Triangle has sides measuring 5 inches and 8 inches. If x represents the length in inches of the third side, which inequality gives the range of possible values for x ?
A. 5 < 8 <8
B. 3 ≤ x ≤ 13
C. 3 < x < 13
D. 5 ≤ x ≤ 8

Answer 1

Explanation:

Let x = third side

Using the Triangle Inequality theorem which states that the sum of two sides of a triangle must be longer than the third side and the difference of the two sides is the lower limit of the third side, the answer to your question is that the third side must be between 3 and 13, or written using inequalities, 3 < third side (or x) < 13 is the range.