Question

Assertion: In a right angled triangle, the hypotenuse is the longest side.

Reason: The other 2 angles of the right triangle are acute.

Options

• 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:

In a right-angled triangle, the hypotenuse is opposite the right angle (90°), which is the largest angle.

Since the side opposite the largest angle is the longest, the hypotenuse is the longest side. The other two angles are acute, which supports this conclusion. 

Hence, both the assertion and reason are true and the reason correctly explains the assertion.