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In a triangle ABC, if AB,BC and AC are t...

In a triangle ABC, if AB,BC and AC are the three sides of the triangle, then which of the statements is necessarily?

A

`AB+BC ltAC`

B

`AB+BC gt AC`

C

`AB+BC=AC`

D

`AB^(2)+BC^(2)=AC^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
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ARIHANT SSC-GEOMETRY-INTRODUCTORY EXERCISE - 12.2
  1. In a triangle ABC, if AB,BC and AC are the three sides of the triangle...

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  2. The sides of a triangle are 12 cm, 8 cm and 6 cm respectively, the tri...

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  3. If the sides of a triangle are produced then the sum of the exterior a...

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  4. In the given figure BC is produced to D and angleBAC=40^(@) and angle ...

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  5. In a DeltaABC, angleBAC gt 90^(@), then angleABC and angleACB must be ...

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  6. If the angles of a triangle are in the ratio 1:4:7, then the value of ...

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  7. In the following figure angleB=70^(@) and angleC=30^(@). BO and CO are...

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  8. In the given diagram of DeltaABC, angleB=80^(@), angleC=30^(@) BF and ...

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  9. In an equilateral triangle, the incentre, circumcentre, orthocentre an...

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  10. In the adjoining figure D is the midpoint of BC of a DeltaABC, DM and ...

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  11. In the adjoning figure of DeltaABC, AD is the perpendicular bisector o...

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  12. Triangle ABC is such that AB=9 cm, BC = 6cm, AC = 7.5 cm. Triangle DE...

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  13. In DeltaABC, AB=5cm, AC=7cm. If AD is the angle bisector of angleA The...

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  14. In a DeltaABC, D is the mid - point of BC and E is mid - point of AD, ...

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  15. In a DeltaABC, AB=AC and AD|BC, then:

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  16. The difference between altitude and base of a right angled triangle is...

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  17. If AB, BC and AC be the three sides of a triangle ABC, then which one ...

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  18. In the triangle ABC, side BC is produced to D. angleACD=100^(@) if BC ...

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  19. In the adjoining figure D, E and F are the mid - points of the sides B...

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  20. In the adjoining figure angleBAC=60^(@) and BC = a, AC = b and AB = c,...

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