Question

The perimeter of an equilateral triangle is 60 m, then its area is______​

Answer 1

Step-by-step explanation:

Let each side of an equilateral be x.

Then, perimeter of an equilateral triangle = 60 m

x + x + x = 60 ⇒ 3x = 60 ⇒ x = 60/3 = 20 m

Area of an equilateral triangle = √3/4 (Side)2 = (√3/4) x 20 x 20 = 100 √3 m2

Thus, the area of triangle is 100√3 m2.

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Answer 2

Solution:-

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$\large\to{\underbrace{\underline{\sf{Understanding\:the\:concept:-}}}}$

$\implies$ Here, it is given in the question that the perimeter of an equilateral triangle 60 m. Now the question has asked us to find out the area of the given triangle.

⛤ HOW TO DO:-

$\to$ Here, to find the area of the triangle first of all we have to find the side of the triangle by dividing the perimeter of the triangle by 3 as equilateral triangle have 3 equal sides. After dividing we will get the side of the triangle. Then by applying the formula of area of equilateral triangle we will get the answer.

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ANSWER:-

• Area of the given equilateral triangle is 100√3 m².

GIVEN:-

• Shape = Equilateral triangle
• Perimeter = 60 m

TO FIND:-

• Area of the equilateral triangle.

SOLUTION:-

• Refer the attachment for solution.

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