Question

the area of a equilateral triangle is 144√3 ; find its perimeter.

Answer 1

Answer:

72 units

Step-by-step explanation:

Area of equilateral triangle = {(√3/4) × a^2}, where 'a' is length of triangle.

As given,

{(√3/4) × a^2} = 144√3

{(1/4) × a^2} = 144

a^2 = 144 × 4 = 576

a^2 = 576

a = 24 units

Hence, perimeter = 3a = 3 × 24 = 72 units

Answer 2

Answer:72 unit

Step-by-step explanation:

Here's ur explanation...............

(We know )

Area of equilateral triangle =144 root3

.:Root3*a^2/4=144 root3

on solving we get

a=root (144*4)

=12*2

=24

.............

.: perimeter =3a

=3*24

=72 units

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Hope it helps. ........