Question

Find the perimeter and area of an equilateral traingle of side "a"​

Answer 1

Answer: Perimeter of any figure is- sum of all side.

Therefore perimeter of an equilateral triangle is:-  3a, where 'a' is side of the triangle.

Step-by-step explanation: Now come to the area of equilateral triangle

i.e. √3a²/4 where 'a' is the side of the triangle.

Since all the 3 sides of the triangle are same,

AB = BC = CA = a

Find the altitude of the △ABC.

Draw a perpendicular from point A to base BC,

AD ⊥ BC.

By using Pythagoras theorem

In △ ADC,

h² = AC² - DC²= a² - (a/2)² [Because, DC = a²]= a²- a²/4h = √3a/2

We know that, Area of a triangle = 1/2 * Base * Height

 = 1/2 * a * 3√a/2

= √3/4*a²

Hope, it will help you.....