perimeter of an equadrilateral triangle is 72cm . find its area . PLZ SOLVE IT I...

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September 2021 2 29 Report

perimeter of an equadrilateral triangle is 72cm . find its area . PLZ SOLVE IT I DEFINATELY MARK U A BRAINLIST

Jiyakhera Perimeter of equilateral∆ = 3a where a = side
3a = 72
a = 72/3
a = 24

finding the area of ∆ by Heron's formula...
$\sqrt{s(s - a)(s -b )( s-c )}$
S = 72/2
= 36

$\sqrt{36 \times(36 - 24)(36 - 24)(36 - 24)}$
$\sqrt{36 \times 12 \times 12 \times 12}$
$12 \sqrt{36 \times 12}$
$12 \times 12 \sqrt{3}$
$144 \sqrt{3}$
hence area =>> 144√3

TheAstrophile HEYA MATE!

YOUR ANSWER....

Perimeter of equilateral triangle = 3× length of one side.
Given perimeter is 72 cm.
According to the formula,
72=3x
x=24cm.

So, length of one side is 24 cm.

Now, area of equilateral triangle =
$\frac{ \sqrt{3} }{4} {a}^{2}$

Substituting the values, we get

$\frac{ \sqrt{3} }{4} \times {24}^{2}$

$\frac{ \sqrt{3} }{4} \times 576$

$\sqrt{3} \times 144$

$= 249.41 \: {cm}^{2}$
If you're facing any kind of problem in solving in this way, then you can use Heron's formula.

HOPE IT HELPS!

^.^

#happytohelp

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