Question

the perpendicular of an equilateral triangle is 60 M the area is

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Answer 1

Answer:

Step-by-step explanation:

Area\: of\:an\\\: equilateral \:triangle (A)\\≈173.2 m^{2}

Step-by-step explanation:

Let side of an equilateral triangle= a m

i) Perimeter of equilateral (P)=60m /* given */

=> 3a = 60 m

Divide each term by 3, we get

=> a = 20 m

Now,

Area\: of\:an\\\: equilateral \:triangle (A)\\=\frac{\sqrt{3}}{4}\times a^{2}

=\frac{\sqrt{3}}{4}\times (20)^{2}\\=\frac{\sqrt{3}}{4}\times 400\\=100\sqrt{3}\\=100\times 1.732\\=173.2 m^{2}

Therefore,

Area\: of\:an\\\: equilateral \:triangle (A)\\≈173.2 m^{2}