document.write( "Question 942020: What is the height of an equilateral triangle with sides that are 12 cm long? \n" ); document.write( "

Algebra.Com's Answer #574337 by Fombitz(32388) $\"\"$ $\"About$

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Use 1 side as the hypotenuse and 1/2 of another side as the leg of a right triangle.
\n" ); document.write( "The other leg of that triangle will be the height.
\n" ); document.write( "Using the Pythagorean theorem,
\n" ); document.write( " $\"12%5E2=%2812%2F2%29%5E2%2BH%5E2\"$
\n" ); document.write( " $\"H%5E2=144-36\"$
\n" ); document.write( " $\"H%5E2=108\"$
\n" ); document.write( " $\"H=6sqrt%283%29\"$ or formulaically, $\"H=%28sqrt%283%29%2F2%29%2AS\"$ \n" ); document.write( "

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