SOLUTION: verify the area of a triangle abc a=-2,11 b=5,7 c=1,0 for some reason when i plug it in i get the wrong answer what is the area?

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Question 626518: verify the area of a triangle abc
a=-2,11
b=5,7
c=1,0
for some reason when i plug it in i get the wrong answer
what is the area?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
Line ab
(-2,11)
( 5, 7) m = -4/7
line bc
(5,7)
(1,0) m = 7/4
triangle abc is a right triangle as ab is perpendicular to bc
(-2,11)
( 5, 7) D%5Bab%5D+=+sqrt%28%28-7%29%5E2+%2B4%5E2%29+=+sqrt%2853%29
(5,7)
(1,0) D%5Bbc%5D+=sqrt%284%5E2+%2B+7%5E2%29+=+sqrt%2853%29
A = %281%2F2%29sqrt%2853%29sqrt%2853%29+=+53%2F2