Question

Assertion: In the figure, AC > BC in ΔABC.

Reason: The greater angle has the greater side opposite to it in a triangle.

पर्याय

• Both A and R are true and R is the correct reason for A.

• Both A and R are true but R is the incorrect reason for A.

• A is true but R is false.

• A is false but R is true.

Answer 1

Both A and R are true and R is the correct reason for A.

Explanation:

Step 1: Recall the Triangle Property

In any triangle:

• The side opposite to the greater angle is longer.

Step 2: Apply the Rule

If AC > BC, this means that:

• Side AC is opposite to ∠B.
• Side BC is opposite to ∠A.

So, if AC > BC, then it must be true that ∠B > ∠A.

Step 3: Match Assertion and Reason

• The Assertion (A) states a fact: AC > BC.
• The Reason (R) is a correct statement of the property that explains why Assertion is true.

Thus, both are true and R correctly explains A.