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Statistics

Question
CBSEENMA9003255

The sides of a triangular ground are 5 m, 7 m and 8 m respectively. Find the cost of levelling the ground at the rate of र 10 per m2. (Use square root of 3 = 1.73).

Solution

For triangular ground
a = 5 m
b = 7 m
c= 8 m
therefore space space space space straight s equals fraction numerator straight a plus straight b plus straight c over denominator 2 end fraction equals fraction numerator 5 plus 7 plus 8 over denominator 2 end fraction straight m
space space space space space space equals space 10 space straight m
therefore space space Area space equals space square root of straight s left parenthesis straight s minus straight a right parenthesis left parenthesis straight s minus straight b right parenthesis left parenthesis straight s minus straight c right parenthesis end root
space space space space space space space space space space space space equals space square root of 10 left parenthesis 10 minus 5 right parenthesis left parenthesis 10 minus 7 right parenthesis left parenthesis 10 minus 8 right parenthesis end root
space space space space space space space space space space space space equals space square root of 300
space space space space space space space space space space space space equals space 10 square root of 3
space space space space space space space space space space space space equals space 10 space cross times space 1.73
space space space space space space space space space space space space equals space 17.3 space straight m squared

Cost of levelling
= 17.3 x 10 = र 173

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