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If D is a Point on the side BC of a Delt...

If D is a Point on the side BC of a `Delta ABC` such that AD bisects `angleBAC`. Then

A

BD=CD

B

`BA gt BD`

C

`BD gt BA`

D

`CD gt CA`

Text Solution

Verified by Experts

The correct Answer is:
B
Given,`DeltaABC`such that AD bisects `angleBAC`
`because angleBAD=angleCAD`

`In Delta ACD,angle BDA `is an exterior angle.
`therefore angle BDA gt angle CAD`
`[because "exterior angle" gt "interior opposite angle" ]`
`rArr angle BDA gt angel BAD " " ["from Eq.(i)"]`
`rArr BA gt BD` [side opposite to greater angle is greater]
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