document.write( "Question 17499: I have an equilateral triangle with an area of 30 square centimeters. I need to find the base and height of the triangle. \n" ); document.write( "

Algebra.Com's Answer #336565 by cleomenius(959) $\"\"$ $\"About$

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We can use the formula for Area of an equilateral triangle to find the side length.
\n" ); document.write( "Area = s^2 $\"sqrt%283%29\"$ /4
\n" ); document.write( "30 = s^2 $\"sqrt%283%29\"$ /4
\n" ); document.write( "120 = s^2 $\"sqrt%283%29\"$
\n" ); document.write( "69.28 = s^2
\n" ); document.write( "8.23 cm = s
\n" ); document.write( "the altitude h of an equilateral triangle is :
\n" ); document.write( "h = side * sin 60 degrees.
\n" ); document.write( "8.23 (0.866) = 7.13 cm
\n" ); document.write( "To check,
\n" ); document.write( "1/2(8.23 * 7.13) = 29.3 Approx 30.
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