SOLUTION: I need to work out how many square metres of turf i need to buy for a triangular garden of 12m x 16m x 22m hope you can help thanks

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Question 852498: I need to work out how many square metres of turf i need to buy
for a triangular garden of 12m x 16m x 22m
hope you can help
thanks
Found 2 solutions by ewatrrr, rothauserc:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Step 1: Calculate "s" (half of the triangles perimeter) using:
12 + 16 + 22 = 50, s = 25
A = sqrt%2820%28s-12%29%28s-16%29%28s-22%29%29
Step 2:
A = sqrt%2820%2813%29%289%29%283%29%29

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
we need to use Heron's formula for the area of a triangle given three sides
This formula is Area = SQRT(s(s-a)(s-b)(s-c)), where s=(a+b+c)/2 or perimeter/2.
first calculate the perimeter of the triangle divided by 2
P = (12 + 16 + 22) / 2 = 50 / 2 = 25
so s = 25, therefore
A = square root(25(25-12)(25-16)(25-22))
A = square root(25*13*9*3) = 93.67 approx 94 square meters of turf