Maths-
General
Easy
Question
If the length of the median of an equilateral triangle is x cm, then what is the area of triangle.
Hint:
In an equilateral triangle, median is the perpendicular of the base too.
The correct answer is: Equilateral triangle
It is given that length of the median = x cm
Let side of the triangle = a
Since median divides the base ⇒ BD =
Using Pythagoras in triangle ABD
AB2 = AD2 + BD2
a2 = x2 + ( 
)2
= x2 ⇒ 
= x
a = 
Area of equilateral triangle = 
= 
= 
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