Question

What is the area of equilateral triangle whose side is √3/2 cm

Answer 1

GIVEN:

• Side of an equilateral triangle = √3/2 cm

TO FIND:

• What is the area of an equilateral triangle ?

SOLUTION:

We have given that, the side of an equilateral triangle is √3/2 cm

We have to find the area of an equilateral triangle

We know that, the formula for finding the area of an equilateral triangle is:-

❮ AREA = $\bf{\dfrac{\sqrt{3}}{4} a^2}$ ❯ 

According to question:-

➸ A = $\sf{\dfrac{\sqrt{3}}{4} \times \bigg( \dfrac{\sqrt{3}}{2} \bigg)^2}$

➸ A = $\sf{\dfrac{\sqrt{3}}{4} \times \dfrac{3}{4}}$

❮ A = $\bf{\dfrac{3 \sqrt{3}}{16} \: cm^2}$ ❯ 

❝ Hence, the area of an equilateral triangle is 3√3/16 cm² ❞

______________________

Answer 2

$\huge\underline\mathfrak\red{Given}$

• Side of a equilateral triangle=$\frac{ \sqrt{3} }{2} cm$

$\huge\underline\mathfrak\red{To \: find}$

• The area of equilateral triangle.

$\huge\underline\mathfrak\red{Formula \: used}$

• $\sf{Area = \frac{ \sqrt{3} }{4} {a}^{2} }$

$\huge\underline\mathfrak\red{Solution}$

We know the formula of Equilateral triangle,

$\sf{Area = \frac{ \sqrt{3} }{4} {a}^{2} }$

Now by putting the value in the formula,we get,

$\sf{Area = \frac{ \sqrt{3} }{4} \times ( \frac{ \sqrt{3} }{2}) ^{2} cm }$

$\sf{\implies Area = \frac{ \sqrt{3} }{4} \times \frac{3}{4}cm }$

$\sf{\implies Area = \frac{3 \sqrt{3} }{16}cm^{2} }$

$\rule{300}{2}$

$\sf{Hence \: , \: the \: area \: of \: the \: equilateral} \\ \sf{triangle \: is \: \frac{3 \sqrt{3} }{16}cm^{2} \: }whose \: side \: is \: \frac{ \sqrt{3} }{2} cm$

$\huge\underline\mathfrak\red{ThankYou}$