document.write( "Question 883401: the diagram below shows the equilateral triangle abc, whose sides are 6 inches long. use the relationship below to find h, the hight of triangle abc. leave your answer in the simppest radical form \n" ); document.write( "

Algebra.Com's Answer #533545 by Fombitz(32388) $\"\"$ $\"About$

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Drop a line from a vertex of one of the angles and place the other end of the line at the midpoint of the opposing side.
\n" ); document.write( "This height is one side of a right triangle.
\n" ); document.write( "The other side is (1/2)6=3 because it is the midpoint of the side.
\n" ); document.write( "The hypotenuse is the side of the equilateral triangle, 6.
\n" ); document.write( "Use the Pythagorean theorem,
\n" ); document.write( " $\"6%5E2=h%5E2%2B3%5E2\"$
\n" ); document.write( " $\"h%5E2=36-9\"$
\n" ); document.write( " $\"h=sqrt%2827%29\"$
\n" ); document.write( " $\"highlight%28h=3sqrt%283%29%29\"$
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