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Give the exact area of the following triangle

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9 sqrt 3 in^2

Step-by-step explanation:

Assuming this is a equilateral triangle

find height

sin 60 = height/6

6 sqrt (3)/2 = height

3 sqrt 3 = height

area = 1/2 base * height

= 1/2 * 6 * 3 sqrt 3

= 9 sqrt 3 in^2
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