Question

find the area on an equilateral triangle if its each side is 24 cm​

Answer 1

144√3 cm square.

EXPLANATION IS IN THE ATTACHMENT.

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Answer 2

Answer:

Hence, value of area of equilateral triangle having side 24 cm will be $144{\sqrt{3}} \:cm^2$

Step-by-step explanation:

In context to question asked,

We have to determine the value of area of equilateral triangle.

As per data given in the question,

We have,

Side of equilateral triangle = 24 cm

As we know that,

Equilateral triangle is that particular triangle whose all sides are equal.

As we have,

Formula for finding the area of equilateral triangle -

$Area = \frac{{\sqrt{3}}}{4}\:side^2$

So, for determining the value of area of equilateral triangle, we will put the value of side of triangle in above formula,

So, we will get it as,

$Area = \frac{{\sqrt{3}}}{4}\:side^2\\Area = \frac{{\sqrt{3}}}{4} \times 24 \times 24\\=>Area ={\sqrt{3}} \times \frac{24 \times 24}{4}\:cm^2\\Area =144{\sqrt{3}} \:cm^2$