Question

Find the area of an equilateral triangle whose
each side is
(a) 30 cm
Please Give detailed answer I am not able to understand.​

Answer 1

Explanation:

area of an equilateral triangle=√3/4a2

a=30cm

area of given equilateral triangle=√3/4×30×30=225√3cm2

Answer 2

Answer:

Given :-

An equilateral triangle whose each side is 30 cm.

To Find :-

What is the area of an equilateral triangle.

Formula Used :-

${\purple{\boxed{\small{\bold{Area\: of\: equilateral\: triangle\: =\: \dfrac{\sqrt{3}}{4}{(side)}^{2}\: cm}}}}}$

Solution :-

Given :

Side = 30 cm

According to the question by using the formula we get,

⇒

$\sf Area\: =\: \dfrac{\sqrt{3}}{4} \times {(30)}^{2}\: cm$

⇒

$\sf Area\: =\: \dfrac{\sqrt{3}}{4} \times 30\: cm \times 30\: cm$

⇒

$\sf Area\: =\: \dfrac{\sqrt{3}}{4} \times 900\: c{m}^{2}$

⇒

$\sf Area\: =\: \dfrac{\sqrt{3}}{\cancel{4}} \times {\cancel{900}} c{m}^{2}$

⇒

$\sf Area\: =\: \sqrt{3} \times 225\: c{m}^{2}$

➠

$\sf\bold{\red{Area\: =\: 225\sqrt{3}\: c{m}^{2}}}$

$\therefore$

The area of an equilateral triangle is 225√3 cm².