Q. 10 A3.7( 7 Votes )

# In an equilateral triangle ABC, BD is a median. Let us prove that, ∠ ABD = cot ∠BAD

To Prove : cot ABD = cot BAD

Proof:

In the figure shown above ABC is an equilateral triangle

Now BD is a median on side AC, Therefore, AD = DC

(By property of equilateral triangle if a median is dropped from one vertex to opposite side, it is perpendicular to the side, and ABD = BAD = 45°)

If the angles are equal, their values of cot will also be equal

So,

Hence, Proved

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