SOLUTION: Area of a triangle. Find the exact area of a triangle with a base of sqrt30 meters and a height of sqrt6 meters.

Question 201527: Area of a triangle. Find the exact area of a triangle with
a base of sqrt30 meters and a height of sqrt6 meters.
Found 2 solutions by rfer, jsmallt9:
Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
a=.5(sq rt 30)(sq rt 6)
a=2.74*2.45=6.71 sq m
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
Don't let the "weird" numbers distract you. The area of a triangle is always no matter what kinds of numbers are involved.

So the area of your triangle is .
To simplify this we need the product property of square roots which says . Applying this to the area we get .
To simplify we will use the product property in reverse (most properties work in both directions) by rewriting 180 as a product with at least one perfect square factor. The largest perfect square factor of 180 is 36. So .
Since we now have . There is nothing else that can be done if one wants an exact, simplified answer. The area is square meters.
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