Math, asked by neelofarahmed19, 9 months ago

find the area of an equilateral triangle whose perimeter is 80 cm​

Answers

Answered by sushilverma1972
2

the answer is 243 Metre

Answered by ItzShinyQueen13
2

\bold\red{\underline{\underline {Answer:}}}

307.77 {cm}^{2}

\bold\red{\underline{\underline {Step-by-step \: explanation:}}}

Here, we are given,

▪Perimeter of a triangle = 80 cm

Hence, The sum of the three side of a triangle is = 80 cm

∴ The 1 side of the triangle is = \frac {80}{3}

\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=26.66 cm

The \:  area  \: of  \: the  \: triangle  \: is  = \frac{ \sqrt{3} }{4}  {a}^{2}  \\ Here, \:  a = 26.66 \: cm \\ ∴area =  \frac{ \sqrt{3} }{4}  \times (26.66)^{2}  \\ \:\:\:\:\:\:\:\:\:\:\:\:\:\:=  \frac{ \sqrt{3} }{4}  \times 710.7556 \\  \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=sqrt{3}  \times 177.6889 \\ \:\:\:\:\:\:\:\:\:\:\:\:\:\:\: = 307.77 \:  {cm}^{2}

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