SOLUTION: If the sides of a triangle are 7, 8, and 9, what is the exact length of the altitude to the longest side?

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Question 835278: If the sides of a triangle are 7, 8, and 9, what is the exact length of the altitude to the longest side?

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
By Heron's formula, the area of the triangle is . Letting be the altitude to the side of length 9, we have , or .