SOLUTION: 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?

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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?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The triangle is split by the altitude into two 30-60-90 right triangles.
The sides of the right triangles measure 4, 8, and 4sqrt%283%29
The base of the isosceles triangle measures 8sqrt%283%29
The area of the isosceles triangle is %281%2F2%29%2A%288sqrt%283%29%29%2A%284%29=16sqrt%283%29