The question consists of two statements, namely, Assertion (A) and Reason (R). Please select the correct answer. Assertion (A) Reason (R) If AD is a median of ∆ABC, then AB+AC2AD. The angles opposite to equal sides of a triangle are equal.

Question

The question consists of two statements, namely, Assertion (A) and Reason (R). Please select the correct answer. Assertion (A) Reason (R) If AD is a median of ∆ABC, then AB+AC>2AD. The angles opposite to equal sides of a triangle are equal.

Philoid · Accepted Answer

According to the question,

In ΔABD and ΔACD,

Since, sum of any two sides of a triangle is greater than the third side.

AB + DB > AD (i)

AC + DC > AD (ii)

Adding (i) and (ii)

AB + AC + DB + DC > 2AD

AB + AC + BC > 2AD

Hence, the assertion and the reason are both true, but Reason does not explain the assertion.

∴ Option B is correct

Assertion (A)	Reason (R)
If AD is a median of ∆ABC, then AB+AC>2AD.	The angles opposite to equal sides of a triangle are equal.

The question consists of two statements, namely, Assertion (A) and Reason (R). Please select the correct answer.Assertion (A)Reason (R)If AD is a median of ∆ABC, then AB+AC>2AD.The angles opposite to equal sides of a triangle are equal.

The question consists of two statements, namely, Assertion (A) and Reason (R). Please select the correct answer.

Assertion (A)

Reason (R)

If AD is a median of ∆ABC, then AB+AC>2AD.

The angles opposite to equal sides of a triangle are equal.