Q. 145.0( 2 Votes )

In an equilateral

Answer :

Let ∆ ABC be an equilateral triangle with side a.

To prove: Area of ∆ ABC =

In ∆ ABC, AD bisects BC

Now, in ∆ ACD

Using Pythagoras theorem,

AC2 = AD2 + DC2

AD2 = AC2 – DC2

Now, in ∆ ABC

Area of ∆ ABC =

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In Fig. 3,<Mathematics - Board Papers

In an equilateralRD Sharma - Mathematics