Asked by Hanu2012

An 18 m tall tree is broken during a severe storm. The distance from the base of the trunk to the point where the tip touches the ground is 12 m. At what height did the tree break?
Answered by Steve
the standard 5-12-13 triangle fits the bill, but algebraically,

If the tree broke at height x,

12^2 + x^2 = (18-x)^2
x = 5
Answered by Mehtab
x^2 + 12^2 = (18-x)^2
x^2 + 144 + x^2 - 36x + 324
144 = -36x + 324
-180 = -36x
-180/-36 = -36x/-36
5 = x
Answered by Man
Mehtab made a slight error in his second step,it was suppose to be = instead or +
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