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Δ A B C

is an equilateral triangle

Δ A B C

is an isosceles triangle

Δ A B C

is a scalene triangle

None of these

answer is B.

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Detailed Solution

Given that ∆ABC is a triangle and AD is a perpendicular bisector of BC as shown in the figure.
Question Image

Now, consider

Thus, by SAS congruence criteria,

We know that corresponding parts of congruent triangles are equal.

As we know that angles opposite to equal sides are equal.

As per definition of isosceles triangle, it must have two equal sides & the angles opposite the equal sides are also equal.
Hence,

Δ A B C

is an isosceles triangle.
So, option (2) is correct.

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