SOLUTION: An equilateral triangle has a height of 26 cm. What is the length of each side of the triangle, to the nearest inch . Show your work .

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Question 898508: An equilateral triangle has a height of 26 cm. What is the length of each side of the triangle, to the nearest inch . Show your work .
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
That height cuts the triangle into two special triangles of the 30-60-90 type. Assign a variable to the hypotenuse, example, x; and then the short leg is x/2, which you know based on the special triangle resulting from the equilateral triangle.

highlight_green%28%28x%2F2%29%5E2%2B26%5E2=x%5E2%29, Pythagorean Theorem. x is ALSO the length of one side of the equilateral triangle.

The inches quantity will use 1 inch = 2.54 centimeter, and 100 centimeters = 1 meter.