Answer :

**Given:** Length of the median of the equilateral triangle = x cm

**To Find:** Area of the equilateral triangle

**Concept Used:**

Area of an equilateral triangle

Where a = side of the triangle.

Pythagoras theorem: In a right-angled triangle,

(Hypotenuse)^{2} = (Base)^{2} + (Perpendicular)^{2}

**Diagram:**

**Assumption:** Let the side of the triangle be x.

**Explanation:**

∠ADB = 90˚

**[Median of an equilateral triangle is a perpendicular bisector]**

Applying Pythagoras theorem, in Δ ADB we get,

Now,

Hence, Area of the triangle is **.**

Rate this question :

Find the area of RS Aggarwal & V Aggarwal - Mathematics

Each side of an eRS Aggarwal & V Aggarwal - Mathematics

A kite in the shaRS Aggarwal & V Aggarwal - Mathematics

The sides of a quRD Sharma - Mathematics

Each side of an eRS Aggarwal & V Aggarwal - Mathematics

The question consRS Aggarwal & V Aggarwal - Mathematics

If the base of anRS Aggarwal & V Aggarwal - Mathematics

The perimeter of RS Aggarwal & V Aggarwal - Mathematics

Match the followiRS Aggarwal & V Aggarwal - Mathematics