Math, asked by subham322669, 1 year ago

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

Answers

Answered by Jiyakhera
2
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
Answered by TheAstrophile
1
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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