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) (Show Source): You can put this solution on YOUR website!
By Heron's formula, the area of the triangle is (4)(3)} = 12 \sqrt{5})
. Letting 
be the altitude to the side of length 9, we have 
, or 
.
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