SOLUTION: if the side of an equilateral triangle measures 10 inches, what is it's height?

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Question 378153: if the side of an equilateral triangle measures 10 inches, what is it's height?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

side of an equilateral triangle measures 10 inches

Let x represent the height. Applying the Pythagorean Theorem

5^2 + x^2 = 10^2

25 + x^2 = 100

x^2 = 75  Note: negative solution is extraneous for length

x+=+sqrt%2875%29=+sqrt%2825%2A5%29+=+highlight%285%2Asqrt%285%29%29