document.write( "Question 578514: Triangle DEF is an isosceles triangle. The measure af angle DEF is 120°and the altitude of the triangle is 4. What is the area of triangle DEF? \n" ); document.write( "

Algebra.Com's Answer #370668 by KMST(5328) $\"\"$ $\"About$

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The triangle is split by the altitude into two 30-60-90 right triangles.
\n" ); document.write( "The sides of the right triangles measure 4, 8, and $\"4sqrt%283%29\"$
\n" ); document.write( "The base of the isosceles triangle measures $\"8sqrt%283%29\"$
\n" ); document.write( "The area of the isosceles triangle is $\"%281%2F2%29%2A%288sqrt%283%29%29%2A%284%29=16sqrt%283%29\"$ \n" ); document.write( "

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