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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 lt CA`

Text Solution

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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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NCERT EXEMPLAR-TRIANGLES-Triangles
  1. In Delta ABC,if BC=AB and angleB=80^(@),then angleA is equal to

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  2. In Delta PQR, If angleR=angleP, QR=4 cm and PR = 5 cm. Then, the lengt...

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  3. If D is a Point on the side BC of a Delta ABC such that AD bisects ang...

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  4. It is given that Delta ABC cong Delta FDE and AB= 5 cm , angle B=40^(...

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  5. If two sides of a tringle are of length 5 cm and 1.5 cm, then the len...

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  6. In Delta PQR, If angle R gt angle Q, then

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  7. In Delta ABC and Delta PQR , If AB=AC, angleC=angleP " and " angleB=a...

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  8. In Delta ABC and DeltaDEF , AB=FD and angleA=angleD. The two triangle...

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  9. In Delta ABC and Delta PQR,angleA=angleQ and angleB=angleR. Which side...

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  10. In Delta ABC and Delta PQR,angleA=angleQ and angleB=angleR. Which side...

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  11. If two sides and an angle of one triangle are equal to two sides and a...

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  12. If two sides and an angle of one triangle are equal to two sides and a...

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  13. Is it possible to construct a triangle with lengths of its sides as 4 ...

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  14. It is given that Delta ABC cong Delta RPQ .Is it true to say that BC =...

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  15. It DeltaPQR cong DeltaED,then is it true to say the PR = EF ? Given re...

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  16. In Delta PQR,angleP=70^(@) " and " angleR=30^(@) .Which side of this t...

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  17. AD is a median of the Delta ABC.Is it trure AB+BC+CA gt 2 AD ? Give re...

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  18. M is point on side BC of a triagle ABC such that AM is the bisector of...

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  19. Is it possible to construct a triangle with lengths of its sides as 9 ...

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  20. Is it possible to construct a triangle with length of its sides as 8 c...

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