Equilateral Triangle

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We know in a triangle we have three sides. We can say, Equilateral triangle is a kind of triangle in which having equal length of sides. We can also say equilateral triangles are equilateral. Means, in a equilateral triangle all the angles are equal to 60o. Why because, sum of the angles in a triangle is equals to 180o. We can find the perimeter of an equilateral triangle with the formula P = 3 (length of a side) = 3 a. Here, as is the length of the side. 

Example 1: Find the perimeter of the triangle with the side 6 cm.

Solution: From the problem, we can write

Length of the side of equilateral triangle = a = 6 cm

We have a formula to find the perimeter of the triangle, that is

P = 3 ( length of a side of an equilateral triangle )

= 3 a

Now we can plug the value in this formula

Then, we can get perimeter of the equilateral triangle = 3 ( 6 ) = 18 cm.

Example 2: Find the length of the side of equilateral triangle with the perimeter 144 cm.

Solution: From the problem, we can write

Perimeter of the triangle = 144 cm

We have a formula to for the perimeter of the triangle that is

3 a = 144

From this we can write, a = 144 / 3 = 48 cm

Therefore, length of the side of an equilateral triangle = 48 cm.

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