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A triangle has sides 6,7, and 8. The lin...

A triangle has sides 6,7, and 8. The line through its incenter parallel to the shortest side is drawn to meet the other two sides at P and Q. Then find the length of the segment PQ.

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To solve the problem, we will follow these steps: ### Step 1: Identify the triangle and its properties Given the sides of the triangle are 6, 7, and 8, we can label the triangle as follows: - Let side BC = 6 (the shortest side) - Let side CA = 7 - Let side AB = 8 ...
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