Home
Class 9
MATHS
In triangle ABC, AC gt AB. AB is extende...

In `triangle ABC, AC gt AB`. AB is extended to P and AC is extended to Q. Prove that, `angle PBC lt angle QCB`.

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    KUMAR PRAKASHAN|Exercise MULTIPLE CHOICE QUESTIONS|15 Videos
  • TRIANGLES

    KUMAR PRAKASHAN|Exercise SUMS TO ENRICH REMEMBER|9 Videos
  • TRIANGLES

    KUMAR PRAKASHAN|Exercise EXERCISE 7.5|4 Videos
  • SURFACE AREAS AND VOLUMES

    KUMAR PRAKASHAN|Exercise MULTIPLE CHOICE QUESTIONS|18 Videos

Similar Questions

Explore conceptually related problems

In the given figure, sides AB and AC of triangle ABC are extended to points P and Q respectively. Also, angle PBC lt angle QCB . Show that AC gt AB

In triangle ABC, AB = AC and the bisector of angle A lt intersects BC at D. Prove that, ( 1 ) triangle ADB = triangle ADC ( 2 ) angle ABC = angle ACB

In triangle ABC, AB gt AC and D is any point of BC. Prove that, AB gt AD.

In triangle ABC, AD is a median. Prove that AB + AC gt 2AD

ABC and ADC are two right triangles with common hypotenuse AC. Prove that angle CAD = angle CBD.

In triangle PQR, PQ = PR, QR is extended to S and angle PRS = 110^(@) . Then, anglePQR = .........

In quadrilateral ACBD. AC = AD and AB bisects angle A (see the given figure). Show that triangle ABC = triangle ABD . What can you say about BC and BD?

ABC is an isosceles triangle with AB = AC. Draw AP bot BC to show that angle B = angle C

A circle is touching the side BC of DeltaABC at P and touching AB and AC extended at Q and R respectively. Prove that, AQ=1/2 (permeter of DeltaABC) .

In figure, bar(AB) is a diameter of the circle, bar(CD) is a chord equal to the radius of the circle. bar(AC) and bar(BD) when extended intersect at a point E. Prove that angle AEB = 6^@ .

KUMAR PRAKASHAN-TRIANGLES-SKILL TESTING EXERCISE
  1. In the given figure, XM and YN are both lt perpendicular to line segme...

    Text Solution

    |

  2. In the given figure AB and CD bisect each other at O. Prove that AC = ...

    Text Solution

    |

  3. In rectangle ABCD, E is the midpoint of side BC. Prove that, AE = DE.

    Text Solution

    |

  4. Prove that the medians of an equilateral triangle are equal.

    Text Solution

    |

  5. In the given figure, AB and DC are both perpendicular to line segment ...

    Text Solution

    |

  6. In triangle ABC, AB = AC and the bisector of angle A lt intersects BC ...

    Text Solution

    |

  7. In triangle ABC, the bisectors of angleB and angle C intersect at I. ...

    Text Solution

    |

  8. In triangle ABC, AB = AC and angle A = 36^(@). The bisector of angle C...

    Text Solution

    |

  9. In the given figure, PS = PR and angle TPS = angle QPR. Prove that P...

    Text Solution

    |

  10. In triangle ABC, D is the midpoint of BC. DFZAB and DE bot AC, where p...

    Text Solution

    |

  11. In parallelogram ABCD, diagonals AC and BD are equal. Find the measure...

    Text Solution

    |

  12. triangle ABC and triangle DBC are isosceles triangles on the same base...

    Text Solution

    |

  13. AD, BE and CF are altitudes of triangle ABC. If AD = BE = CF, prove t...

    Text Solution

    |

  14. In quadrilateral ABCD, BA = BC and DA = DC. Prove that BD bisects ang...

    Text Solution

    |

  15. In triangle ABC, AB gt AC and D is any point of BC. Prove that, AB gt...

    Text Solution

    |

  16. In triangle ABC, AC gt AB. AB is extended to P and AC is extended to Q...

    Text Solution

    |

  17. In triangle ABC, AD, BE and CF are altitudes. Prove I, that, AD + BE +...

    Text Solution

    |

  18. Point S lies in the interior of A PQR. Prove that, SQ + SR lt PQ + PR.

    Text Solution

    |

  19. In triangle ABC, AD is a median. Prove that AB + AC gt 2AD

    Text Solution

    |

  20. For any triangle, prove that the sum of the sides of the triangle is g...

    Text Solution

    |