Question

If the area of equiangular triangle is 173.2 than find its perimeter

Answer 1

Answer:

$\huge{\pink{\green{\sf{Perimeter\:of\:triangle=60cm}}}}$

Step-by-step explanation:

$\huge{\pink{\green{\underline{\red{\sf{SOLUTION-}}}}}}$

• In this question information given about Area of equilateral triangle.

• So, we have to find the Perimeter of equilateral triangle.

• We know the formula of Area of equilateral triangle.

• According to given question :

$\underline\bold{given : } \\ \bold {\to Area \: of \: equilateral \: triangle = 173.2 units} \\ \\ \underline\bold{to \: find : } \\ \bold{Perimeter \: of \: triangle = ? }$

$\to Area \: of \: equilateral \: triangle = \frac{ \sqrt{3} {side}^{2} }{4} \\ \to 173.2 = \frac{ \sqrt{3} {side}^{2} }{4} \\ \to \frac{173.2 \times 4}{ \sqrt{3} } = {side}^{2} \\ \to \frac{173.2 \times 4}{1.732} = {side}^{2} \\ \to 400 = {side}^{2} \\ \to side = \sqrt{400} \\ \bold {\to side = 20 \: units} \\ \\ \to Perimeter \: of \: triangle = a + b + c \\ \to Perimeter = 20 + 20 + 20 \\ \bold {\therefore Perimeter = 60 \: units}$