Question

find the area
of an
equilateral triangle if
length of each of its
sides
is
12 cm.​

Answer 1

Answer:

(36√3 or 62.352) cm2

Step-by-step explanation:

Let ABC be an equilateral triangle with side a and AD be the perpendicular from A to BC then D is the midpoint if BC i.e. BF=a/2

In triangle ABD, AD^2 = AB^2- BD^2(Pythagoras theorem)

AD^2=a^2-(a/2)^2

AD=√3a/2

Area of triangle ABC=1/2*BC*AD

=1/2a×√3a/2=√3a^2/4

therefore area of equilateral triangle is

(√3a^2)/4

So back to your question,

area will be (√3*12*12)/4

=36√3 cm2 ans

putting value of √3as 1.732

ans will be

62.353 cm2

hope it helps

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