SOLUTION: the front wall of house is in the shape of equilateral triangle. the base of the house is 10m long, how tall is the front?
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Question 827726: the front wall of house is in the shape of equilateral triangle. the base of the house is 10m long, how tall is the front? Answer by LinnW(1048) (Show Source):
You can put this solution on YOUR website! The triangle is 10m on each side.
set x = height
Using Pythagorean theorem
x^2 + (5 which is is 1/2 of the base)^2 = 10^2
x^2 + 5^2 = 10^2
x^2 + 25 = 100
subtract 25 from each side
x^2 = 75
x = sqrt(75) = 8.66m
