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Need help please! The height of the equilateral triangle below is 15 units. What is the value of x? a) 15 sqrt 3 b)30 sqrt 3 c)15/sqrt 3 d)30/sqrt 3

Ralph Lopez

in Mathematics

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Cynthia Baker on November 22, 2018

The equilateral triangle can be splited into two congruent right triangles isosceles, each with a height of 15, and the angles of 30°-60°-90°.Then you have this ratios:tan (60) = height / [base of an equilateral triangle / 2] => base = 2*15 / tan(60) = 30/√3 sin (60) = height / hypotenuse => hypotenuse = height / sin(60) = 15 / [√3 / 2] = 30 / √3.Same result as the above which is right, because the three sides are equal.Then, the side of the equilateral triangle is 30 / √3


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