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In fig. BP and CP are the bisectors of...

In fig.
BP and CP are the bisectors of `angleB` and `angleC` respectively and AC > AB. Prove each of the following : `PC>PB`.

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MBD-Triangles-Exercise
  1. In given Fig. , ABC is a triangle with base BC. If the base angles of...

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  2. In DeltaABC, AC > AB and AD is a median. Prove that angleBAD < angleCA...

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  3. In fig. BP and CP are the bisectors of angleB and angleC respectivel...

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  4. In fig. BP and CP are the bisectors of angleB and angleC respectivel...

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  5. In fig. BP and CP are the bisectors of angleB and angleC respectivel...

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  6. Of all the line segments drawn from a point P to a line l not containi...

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  7. In DeltaABC, AC > AB. The bisector of angleA meets BC at D. Prove that...

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  8. O is any point in the exterior of a DeltaABC. Prove that 2(OA + OB + O...

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  9. Prove that the difference of any two sides of a triangle is less than ...

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  10. In Fig. , PQR is a triangle, S is any point in its interior, show tha...

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  11. In Fig. , AB > AC, show that AB > AD.

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  12. Find x+y+z

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  13. Diagonals PR and QS of a quadrilateral PQRS intersect each other at O....

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  14. Diagonals PR and QS of a quadrilateral PQRS intersect each other at O....

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  15. In Fig. , AP is the shortest line-segment that can be drawn from A t...

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  16. If two sides of a triangle are unequal, then larger side has a smaller...

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  17. If two angles of a triangle are unequal, then greater angle has the la...

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  18. Sum of any two sides of a triangle is greater than the third side.

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  19. Difference of any two sides of a triangle is equal to the third side.

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  20. Of all the line-segments that can be drawn from a point to a line not ...

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