SOLUTION: 114.) Area of a Triangle. Find the exact area of a triangle with a base of sqrt(30)meters and a height of sqrt (6) meters.

Question 165398: 114.) Area of a Triangle. Find the exact area of a triangle with a base of
sqrt(30)meters and a height of sqrt (6) meters.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Area of a Triangle. Find the exact area of a triangle with a base of
sqrt(30)meters and a height of sqrt (6) meters.
.
Since the area of any triangle is
(1/2)bh
where
b is base
h is height
.
Plugging in our numbers:
(1/2)bh
(1/2)(sqrt(30))(sqrt(6))
(1/2)(sqrt(30*6))
(1/2)(sqrt(6*30))
(1/2)(sqrt(2*2*3*3*5))
Pulling out pairs:
(1/2)(2)(3)(sqrt(5))
3(sqrt(5))

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