Home
Class 10
MATHS
In DeltaMNP, NQ is a bisector of /N. If ...

In `DeltaMNP, NQ` is a bisector of `/_N`. If `MN=5, PN=7, MQ=2.5,` the find QP.

Text Solution

Verified by Experts

In `DeltaMNP`, ray NP bisects `/_MNP`
`:.` by the theorem of angle bisector of a triangle,
`(MN)/(NP)=(MQ)/(QP)`
`:.5/7=2.5/(QP)`
`:.QP=(7xx25)/5:.QP=3.5`
`QP=3.5`
Promotional Banner

Topper's Solved these Questions

  • SIMILARITY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise CHALLENGING QUESTIONS|8 Videos

  • SIMILARITY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MCQ TYPE|15 Videos

  • SIMILARITY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise 2.5 (4 mark each)|3 Videos

  • QUADRATIC EQUATIONS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise ASSIGNEMENT 2.4|8 Videos

  • STATISTICS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise EXAMPLES FOR PRACTICE (MCQs)|35 Videos

Similar Questions

Explore conceptually related problems

In Delta MNP,NQ is a bisector of angle N. If MN = 5, PN = 7, MQ = 2.5 ,then find QP

In the figure below (not to scale), bar(MR )_|_ bar(MP), bar(MQ) _|_ bar(MN) , and bar(MS) is bisector of /_ RMQ . If /_ PMN=50^(@) , then find the measure of /_ RMS .

If P(n+1, 5) : P(n,6) =2:7 then find n

If P(n+1, 5) : P(n,6) = 2:7 then find n

If m:n = 3:5 and m:r = 2:3, then find n:r.

If a={2,4,5},B={7,8,9} then find n(AxxB) .

In the adjoining figure. Chord MN and chord RS intersect each other at point P. If PR=6,Ps=4, MN=11, find PN.

NAVNEET PUBLICATION - MAHARASHTRA BOARD-SIMILARITY-EXAMPLE TYPE
  1. Given below are some triangles and lengths of line segments. Identify ...

    Text Solution

    |

  2. In DeltaPQR, PM=15, PQ=25, PR=20, NR=8. State whether line NM is paral...

    Text Solution

    |

  3. In DeltaMNP, NQ is a bisector of /N. If MN=5, PN=7, MQ=2.5, the find Q...

    Text Solution

    |

  4. Measures of some angles in the figures are given. Prove that (AP)/(PB)...

    Text Solution

    |

  5. In trapezium ABCD side AB|| side PQ|| side DC, AP=15, PD=12, QC=14, fi...

    Text Solution

    |

  6. Find QP using given information in the figure.

    Text Solution

    |

  7. In the figure if AB||CD||FE then find x and AE.

    Text Solution

    |

  8. In DeltaLMN, ray MT bisects /LMN. If LM=6, MN=10. TN=8 then find LT.

    Text Solution

    |

  9. In DeltaABC set BD bisects /ABC. If AB-x, BC=x+5, AD=x-2, DC=x+2, then...

    Text Solution

    |

  10. In the figure X is any point in the interior of triangle. Point X is j...

    Text Solution

    |

  11. In DeltaABC,ray BD bisects angleABC and ray CE bisects angleACB. If se...

    Text Solution

    |

  12. In the adjoining figure BP|AC, CQ|AB, A-P-C,A-Q-B, then prove that Del...

    Text Solution

    |

  13. In the figure /ABC=75^(@) /EDC=75^(@) State which two triangles are...

    Text Solution

    |

  14. Are the triangles in following figures similar? If yes by which test...

    Text Solution

    |

  15. As shown in the figures, two poles of height 8m and 4m are perpendicul...

    Text Solution

    |

  16. In DeltaABC, AP |BC, BQ|AC. B-P-C,A-Q-C, then prove that DeltaCPA~De...

    Text Solution

    |

  17. Given: In trapezium PQRS, sides PQ|| sides SR, AR=5AP,AS=5AQ, then pr...

    Text Solution

    |

  18. In trapezium ABCD side AB|| side DC, diagonals AC and BD intersect In ...

    Text Solution

    |

  19. square ABCD is a parallelogram point E is on side BC. Line DE intersec...

    Text Solution

    |

  20. In the figure, set aC and seg BD intersect each other in point P and (...

    Text Solution

    |