13
QuizMultiple Choice

Unit Test — Unit test

Question 13 • ! MCHS (CR25) - GEOMETRY

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

Answer
Q
QS = 13
5
5 < QS < 8
Q
QS > 13
3
3 < QS < 13

Explanation

By the triangle inequality, the third side must be greater than the difference of the other two sides and less than their sum. Thus 8 − 5 < QS < 8 + 5, so 3 < QS < 13; this is choice D.

AI-written and checked against the verified answer.

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