document.write( "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 . \n" ); document.write( "

Algebra.Com's Answer #544872 by josgarithmetic(39617) $\"\"$ $\"About$

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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. \r
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\n" ); document.write( "\n" ); document.write( " $\"highlight_green%28%28x%2F2%29%5E2%2B26%5E2=x%5E2%29\"$ , Pythagorean Theorem. x is ALSO the length of one side of the equilateral triangle.\r
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\n" ); document.write( "\n" ); document.write( "The inches quantity will use 1 inch = 2.54 centimeter, and 100 centimeters = 1 meter. \n" ); document.write( "

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