SOLUTION: What is the area of a 30-60-90 triangle if the middle side is equal to 9?

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Question 885401: What is the area of a 30-60-90 triangle if the middle side is equal to 9?

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Special triangle, half of an equilateral triangle. If x is the length of the short side of the 30-60-90 triangle, then the long side is the hypotenuse of 2x. The other side is your given middle side of 9 units.

is area; and using Pythagorean Theorem for the Right Triangle.

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
What is the area of a 30-60-90 triangle if the middle side is equal to 9?

As the MIDDLE side represents the longer leg, area of triangle is:
, or
You can do the check!!
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