Question

The length of each side of an equilateral triangle having
an area of 9V3 cm?
(a) 8 cm
(b) 36 cm
(c)4 cm
d) 6 cm

Answer 1

Answer:

${\pink{\green{\sf{\therefore Side=6\:cm}}}}$

Step-by-step explanation:

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

▪In the given question information given about Area of equilateral Triangle.

• We have to find the length of each side of Triangle.

$\underline \bold{Given : } \\ \implies Area \: of \: equilateral \: Triangle = 9 \sqrt{3} {cm}^{2} \\ \\ \underline \bold{To \: Find : } \\ \implies Side \: of \: Triangle = ?$

• We know the formula to find Area of equilateral Triangle.

• According to given question :

$\implies Area \: of \: equilateral \:Triangle = \frac{ \sqrt{3}( {Side})^{2} }{4} \\ \implies 9 \sqrt{3} = \frac{ \sqrt{3} ({Side})^{2} }{4} \\ \implies {Side }^{2} = \frac{9 \sqrt{3} \times 4 }{ \sqrt{3} } \\ \implies Side = \sqrt{36} \\ \bold{\implies side = 6cm}$

Answer 2

$\Large\boxed{ANSWER = 36 cm}$

$\Large\boxed{Step\: by \:step\: explaination }$

Let each side of equilateral triangle = a

Area = 9√3 cm sq.

Area of equilateral triangle = √3 / 4 × side sq.

9√3 = √3 /4 × a

9 × 4 = √3 / √3 × a

36 = 1 × a

Therefore, length of each side = $\Large\boxed{a = 36 cm }$