Question

in a triangle, side opposite to the larger angle is ...............fill in blank​

Answer 1

Answer:

ANSWER

Given: A triangle ABC in which ∠B > ∠C

To prove: AC>AB

Proof: Observe that, ∠B>∠C 

Therefore, AC is not equal to AB.

If AC=AB implies that ∠B=∠C 

Thus either, AC<AB or AC>AB.

Suppose AC>AB, then by the theorem "Suppose two sides of a triangle are not equal. Then the angle opposite to a larger side is 'greater' than the angle opposite to the smaller side".

⟹∠B>∠C, but this contradicts the given hypothesis.

Thus, our assumption is wrong.

Hence, the only possibility left out is AC>AB.