Question

find the side of th equilateral triangle if the area of an equilateral triangle is 900√3​

Answer 1

Given:

✰ The area of an equilateral triangle is 900√3.

To find:

✠ The side of the equilateral triangle.

Solution:

Equilateral triangle:

➛ Equilateral triangle is the one in which all sides of the triangle are equal i.e, the length of each side of a triangle is same.

As we already know that the area of an equilateral triangle is 900√3, so we will use formula to calculate of an equilateral triangle to calculate the side of the equilateral triangle.

✧ Area of an equilateral triangle = √3/4 × a² ✧

Where,

• a is the length of each side of an equilateral triangle.

Putting the values in the formula, we have:

➤ 900√3 = √3/4 × a²

➤ a² = 900√3 × 4/√3

√3 gets cancel, we have:

➤ a² = 900 × 4

➤ a² = 3600

➤ a = √3600

➤ a = 60 units

∴ The length of each side of the equilateral triangle = 60 units

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