Math CentralQuandaries & Queries


Subject: Math
Name: Sharon
Who are you: Parent

I am needing to determine the height of a triangle with a 50 ft base and one side is 40 ft the other side being 30 ft.

In the diagram below h is the height of the triangle in feet.


By Pythagoras' Theorem

x2 + h2 = 302


(50 - x)2 + h2 = 402

Subtracting the first equation from the second gives

(50 - x)2 - x 2 = 402 - 302

Solve this equation for x and substitute this value into the first equation and solve for h.


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