Question 378153
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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(75)= sqrt(25*5) = highlight(5*sqrt(5))}}}