Each 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. | In a triangle the sum of two sides is greater than the third side. |
From the given figure in the question, we have
In ∆ABD, we have:
AB + BD > AD
Similarly, in
AC + CD > AD
Adding both expressions, we get:
AB + AC + BD + CD > AD + AD
AB + AC + BD + DC > 2AD
AB + AC + BC > 2AD
∴ Assertion and reason both are true and reason is the correct explanation of the assertion
Hence, option (A) is correct