Q. 24.0( 44 Votes )

If the leng

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 .


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