Question

If the area of an equilateral triangle is 196√3cm square then each of its side is ?

Answer 1

Answer:

28cm

Step-by-step explanation:

as it is equilateral triangle this formula ^3a2/4

Answer 2

Given : Area of an equilateral triangle is = 196√3 cm²

To find : Length of each of its side.

Solution :

We can simply solve this mathematical problem by using the following mathematical process.

Here, we have to use the mathematical formula for calculating the area of an equilateral triangle.

Area of an equilateral triangle = √3/4 × (side)²

Let, the length of each of its side = x cm

Area of the equilateral triangle = [√3/4 × (a)²] cm²

According to the data mentioned in the question,

√3/4 × (a)² = 196√3

a²/4 = 196√3/√3

a²/4 = 196

a² = 196×4

a² = 784

a = √784

a = 28

Length of each of its side (3 sides are equal in the case of an equilateral triangle) = 28 cm

Hence, the length of each of its side is 28 cm