Geometry and TrigonometryHardPossible length of a triangle's third side
Geometry and Trigonometry practice question
Triangle PQR has PQ = 5 and QR = 7. Which of the following could be the length of PR?
- A. 8Correct
- B. 2
- C. 12
- D. 13
Answer: A. 8
The third side must be greater than 7 − 5 = 2 and less than 7 + 5 = 12.
Why the other answers are wrong
- B. 2
- 2 is not greater than the difference of the other sides.
- C. 12
- 12 is not less than the sum of the other sides.
- D. 13
- 13 exceeds the sum of the other sides.
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