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If `A`is the area and `2s`is the sum of the sides of a triangle, then`Alt=(s^2)/4`(b) `Alt=(s^2)/(3sqrt(3))``2RsinAsinBsinC`(d) `non eoft h e s e` |
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Answer» `25=a+b+c` `A^2=s(s-a)(s-b)(s-c)` `AM>=GM` `(s+(s-a)+(s-b)+(s-c))/4=(s(s-a)(s-b)(s-c))^(1/4)` `(4s-2s)/4=(A^2)^(1/4)` `s/2>=(A)^(1/2)` `AM>=GM` `((s-a)+(s-b)+(s-c))/3>=((s-a)(s-b)(s-c))^(1/3)` `s/3>=((A^2/S)^(1/3)` `S^3/27>=A^2/S` `A^2/S<=S^3/27` `A^2<=s^4/27` `A<=S^2/(3sqrt3)` Option B is correct. |
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