SOLUTION: What is the area of a 30-60-90 triangle if the middle side is equal to 9?
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Question 978203
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What is the area of a 30-60-90 triangle if the middle side is equal to 9?
Answer by
Boreal(15235)
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30-60-90 triangles are
1-sqrt3-2 in size.
If the middle side is 9, the other leg is 9/sqrt(3) =9 *sqrt (3)/3= 3 (sqrt 3)
The area is 1/2 bh=(1/2)*9*3 sqrt(3)=(27/2)sqrt (3)=23.4 sq units