wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Assertion: If AD is a median of ∆ABC, then AB + AC > 2AD.
Reason: The angles opposite to equal sides of a triangle are equal.
(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.

Open in App
Solution

(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.

In triangle ABC, AD is a median.
We know that the sum of two sides of a triangle is greater than the third side.

AB+DB>AD....(i)AC+DC>AD.........(ii)AB+AC+(DB+DC)>2ADAB+AC+BC>2AD

In any triangle, angles opposite to equal sides are equal.
Clearly, the assertion and the reason are both true, but reason (R) does not give assertion (A).

flag
Suggest Corrections
thumbs-up
0
similar_icon
Similar questions
View More
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Methods to Study the Mineral Requirements of Plants
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon