Math, asked by umangpatel1309, 3 months ago

Find the area of an equilateral triangle having side 8 cm.Find the area of an equilateral triangle having side 8 cm.​

Answers

Answered by pc725223gmailcom
2

Answer:

the \: area \: of \: equilateral \: triangle =  \sqrt{3}  {a}^{2}  \div 4 \\ side = 8cm = a \\ then \: area =  \sqrt{3}  \times  {8}^{2}  \div 4 \\  =  \sqrt{3}  \times 64 \div 4 \\  =   \sqrt{3}  \times 16 \\ then \: area = 16 \sqrt{3}  {cm}^{2}

Answered by prabhakardeva657
108

\huge\large \fbox \green{Given :}

A equilateral triangle have side 8cm

\huge\large \fbox \green{Find :}

  • Area of equilateral triangle

\huge\large \fbox \green{Solution :}

Area \:  of \:  equilateral \:  triangle  \\  \\  \implies \frac{ \sqrt{3} }{4} \:  \times {side} \:  {}^{2}  \\  \implies \:  \frac{  \sqrt{3} }{4} \times (8) {}^{2}  \\  \\  \implies \frac{  \sqrt{3} }{4} \times \: 64 \:  \\   \\  \implies\sqrt{3}  \times 16  \\  \\  \implies \: 27.71cm {}^{2}

.Hence , the Area of equilateral triangle is 27.71 cm²

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