SOLUTION: can you please assist me here: find the area of a right triangle with legs of length 5square root of 3 and 2sqaure root of 3+3square root of 2.

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Question 44134: can you please assist me here: find the area of a right triangle with legs of length 5square root of 3 and 2sqaure root of 3+3square root of 2.
Answer by adamchapman(301) About Me  (Show Source):
You can put this solution on YOUR website!
Use Pythagoras's theorem a%5E2%2Bb%5E2=c%5E2
where "a" and "b" are the sides touching the right-angle.
a=5sqrt%283%29
b=3%2B3sqrt%283%29
a%5E2%2Bb%5E2=c%5E2
%285sqrt%283%29%29%5E2%2B%283%2B3sqrt%283%29%29%5E2=c%5E2
%2825%2A3%29%2B9%2B9sqrt%283%29%2B9%2B9sqrt%283%29%2B%289%2A3%29=c%5E2
75%2B18%2B18sqrt%283%29%2B27=c%5E2
75%2B18%2B18sqrt%283%29%2B27=c%5E2
120%2B18sqrt%283%29=c%5E2
c=sqrt%28120%2B18sqrt%283%29%29
I hope this helps
P.S. I am trying to start up my own homework help website. I would be extremely grateful if you would e-mail me some feedback on the help you received to adam.chapman@student.manchester.ac.uk