Question

perimeter of an equilateral triangle is 96 find its area​

Answer 1

Step-by-step explanation:

$given = \: perimeter \: of \: equiateral \: triangle = 96 unit \\ \: let \: all \: side \: be \: x \\ perimeter \: of \:a n \: equilaterl \: triangle \: = sum \: of \: its \: ll \: equal \: side \\ 96 \: unit = x + x + x \\ 96 = 3x \\ \frac{96}{3} = x \\ or \: x = 32unit \: \\ area \: of \: equilateral \: triangle = \frac{ \sqrt{3} }{4} \times {x}^{2} \\ \frac{ \sqrt{3} }{4} \times 32 \times 32 \\ \sqrt{3} \: \: 256 \: sq \: unit$

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