A) \[32c{{m}^{2}}\]
B) \[16\text{ }\sqrt{3}\text{ }c{{m}^{2}}\]
C) \[16\text{ }\sqrt{\text{2}}\,\,c{{m}^{2}}\]
D) \[27\text{ }c{{m}^{2}}\]
E) None of these
Correct Answer: B
Solution :
Explanation Option (b) is correct. For the given perimetre of a triangle the maximum area is enclosed by an equilateral triangle. \[\therefore \] 3a = 24 cm \[\Rightarrow \] a = 8 cm \[\therefore \] Area \[=\frac{\sqrt{3}}{4}{{a}^{2}}=\frac{\sqrt{3}}{4}\times {{(8)}^{2}}=16\sqrt{3}\,\,c{{m}^{2}}\]You need to login to perform this action.
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