In triangle QRS, QR = 8 and RS = 5. Which expresses all possible lengths of side QS?

QS = 13

5 < QS < 8

QS > 13

3 < QS < 13

EDIT: It's (D) 3 < QS < 13

We have been given that in triangle QRS, QR = 8 and RS = 5. We are asked to find the all possible lengths of side QS.

We will use triangle inequality theorem to solve our given problem.

Triangle inequality theorem states that sum of two sides of triangle must be greater than 3rd side of triangle.

Using triangle inequality theorem, we will get:

Upon combining both inequalities, we will get:

Therefore, the inequality expresses all possible lengths of side QS and option D is the correct choice.

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