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| Math Central | Quandaries & Queries |
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Subject: Math 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
and
(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.
Penny
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