Question

the area of an equilateral triangle is (64 × 1.73) cm ^2 . find the length of each side of the triangle

Answer 1

(√3÷4) a^2= 64*1.73
a^2=64*1.73*4÷√3 (√3=1.73)
a^2=64*4
a^2=256
a=√256 =16 cm..

plzz mark it as brainiest answer

Answer 2

In general , Area of equilateral traingle with side a is √3/4 a²,

Here , it is given that, Area of the equilateral triangle is 64*1.73 cm²,

And we know that √3 = 1.73(Approximately),

So now, we can write the area as 64√3,

Now let us equal the area to the formula to get the side,

Here, let us take the side as a,

=> 64√3 = √3/4 a², Diving both sides with √3,
=> 64 = a²/4, Multiplying 4 on both sides,
=> 64*4 = a², Applying root on both sides,
=> 8*2 = a,
=> 16 cm = a,

As I told you assume a is Length of side, now we got the value of a as 16cm,

So therefore The side of the equilateral triangle is 16cm,

Hope you understand, Have a great day,

Thanking you, Bunti 360 !