Question

Find the perimeter of an equilateral triangle whose area is equal to tha oh a triangle with sides 21 cm, 16cm and 13cm


Give Answer in detail weong Ans. will be directly Reported​

Answer 1

Answer:

P=63cm equilateral. triangle

Answer 2

$\huge\boxed{\fcolorbox{black}{pink}{Solution}}$

Find the perimeter of an equilateral triangle is 46.77 cm .

°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°

Sides of triangle :

a = 21 cm

b = 16 cm

c = 13 cm

$Area \: of \: triangle \: = \sqrt{s(s - a)(s - b)(s - c)}$

$where \: s \: = \: \frac{a + b + c}{2}$

$substitute \: the \: values \:$

$s = \frac{21 + 16 + 13}{2}$

$s = 25$

Area =

$\sqrt{25(25 - 21)(25 - 16)(25 - 13)}$

$= 103.923$

$Area \: of \: equilateral \: traingle \: = \frac{ \sqrt{3} }{4} {a}^{2}$

$so \: , \: \frac{ \sqrt{3} }{4} \: {a}^{2} = 103.923$

$a = 15.59$

So , Perimeter of equilateral triangle = 3 × sides

$3 \times 15 .59 = 46.77$

_____________________________

Mark as Brainliest