Question

The semi perimeter of eqilateral is60 find its area

Answer 1

HERE IS YOUR ANSWER...⬇⬇

$\underline{SOLUTION}$ ➡

$Let ,\\ \\Each \: sides \: of \: the \: equilateral \: \\triangle \: = a \\ \\ Given ,\\ \\ Semi\: perimeter \: of \: the \: \\ equilateral \: triangle \: = 60 \\ \\ = > s \: = 60 \\ \\ = > a + a+ a = 60 \\ \\ = > 3a = 60 \\ \\ = > a = \frac{60}{3} \\ \\ = > a = 20 \\ \\So ,\\ \\ Each \: sides\: of \: the \: equilateral \: \\ triangle ,\: a \: = 20 \\ \\ \\ Area \: \: of \: the \: \: equilateral \: \\ triangle \: = \frac{ \sqrt{3} }{4} a {}^{2} \\ \\ = \frac{ \sqrt{3} }{4} \times( 20) {}^{2} \\ \\ \frac{ \sqrt{3} }{4} \times 400 \\ \\ = \sqrt{3} \times 100 \\ \\ = 100 \sqrt{3}$

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Answer 2

S=a+b+c/2

60=a+b+c/2

a+b+c=120

Perimeter=120

Each side=40

Area of an equilateral triangle=√3/4*a^2

=>√3/4*40*40

=>√3*400

=>692.8

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