Question

for equilateral triangle find area with perimeter 144√3.
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Answer 1

Answer:

step 1 unicorn htist

Step-by-step explanation:

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Answer 2

Answer:

$1728 \sqrt{3}$

Step-by-step explanation:

Since, perimeter of an equilateral triangle of side x is 3x, we have

$3x = 144 \sqrt{3}$

So,

$x = \frac{144 \sqrt{3} }{3} = 48 \sqrt{3}$

Therefore side = 48root 3

Also, there is a formula for finding the area of equilateral triangle of side x

$\frac{ \sqrt{3} }{4} {x}^{2}$

Therefore, the area is

$\frac{ \sqrt{3} }{4} {(48 \sqrt{3}) }^{2} = 1728 \sqrt{3}$