SOLUTION: find the exact area of a triangle with a base of sqrt(30) meters and a height of sqrt(6 meters)

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Question 268711: find the exact area of a triangle with a base of sqrt(30) meters and a height of sqrt(6 meters)
Found 2 solutions by Alan3354, Earlsdon:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Area = b*h/2
A = sqrt(30)*sqrt(6)/2
A = sqrt(180)/2
A = 3sqrt(5) sq meters
-------------------------
and a height of sqrt(6 meters)
should be --- and a height of sqrt(6) meters

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Start with:
A+=+%281%2F2%29b%2Ah for the area of a triangle. Substitute b+=+sqrt%2830%29 and h+=+sqrt%286%29 to get:
A+=+%281%2F2%29%28sqrt%2830%29%29%2A%28sqrt%286%29%29 Substitute sqrt%2830%29+=+sqrt%285%29%2Asqrt%286%29
A+=+%281%2F2%29%28sqrt%285%29%29%2A%28sqrt%286%29%29%2A%28sqrt%286%29%29 Substitute 6+=+sqrt%286%29%2Asqrt%286%29
A+=+%281%2F2%29%286%29%2Asqrt%285%29 Simplify.
highlight%28A+=+3sqrt%285%29%29 Sq. meters.