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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

AB^{2} = AD^{2} + BD^{2}

a^{2} = x^{2} + ( )^{2}

= x^{2 } ⇒ = x

a =

Area of equilateral triangle =

=

=

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