SOLUTION: the lengths of the sides of a triangle are 13 cm, 14 cm and 15 cm. Find the length of the altitude corresponding to longest side.

Question 696151: the lengths of the sides of a triangle are 13 cm, 14 cm and 15 cm. Find the length of the altitude corresponding to longest side.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Maybe not the best way, but first idea that came to me.
Applying Pythagoras to both righ triangles, we get the system
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Subtracting the second equation from the first, we get
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Substituting that value for into , we get
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