Home
Class 10
MATHS
∆ABC ~ ∆PQR. AD is the median to BC and ...

∆ABC ~ ∆PQR. AD is the median to BC and PM is the median to QR. Prove that AB/PQ=AD/PM

Promotional Banner

Topper's Solved these Questions

  • MEASURES OF CENTRAL TENDENCY (MEAN, MEDIAN, QUARTILES AND MODE)

    ICSE|Exercise EXERCISE 24 (D)|8 Videos
  • MATRICES

    ICSE|Exercise Exercise 9D|25 Videos
  • MIXED PRACTICE

    ICSE|Exercise SET B|52 Videos

Similar Questions

Explore conceptually related problems

In a triangle ABC, AB = BC, AD is perpendicular to side BC and CE is perpendicular to side AB. Prove that : AD = CE.

In the given figure, AD is median of DeltaABC and E is any point on median AD. Prove that Area (DeltaABE) = Area (DeltaACE)

In Delta ABC, AD is the median and DE is parallel to BA, where E is a point in AC. Prove that BE is also a median.

In the adjoining figure, AD is the median of Delta ABC and X be any point on side AD. Prove that: area (Delta ABX) = " area " (Delta ACX)

AD is a median of triangle ABC. Prove that : AB+AC gt 2AD

ABC is a triangle in which AB = AC and D is any point on BC. Prove that: AB^(2)- AD^(2) = BD. CD

If in a triangleABC, A=pi/3 and AD is the median, then

In the adjoining figure, DeltaABC is an isosceles triangles in which AB=AC and AD is a median. Prove that : (i) DeltaADB~=DeltaADC (ii) angleBAD=angleCAD

AD is a median of triangle ABC. Prove that : AB+BC+AC gt 2AD

In triangles ABC , AD is perpendicular to BC and AD^(2) = BD xx DC . Prove that angle BAC = 90 ^(@)

ICSE-MEASURES OF CENTRAL TENDENCY (MEAN, MEDIAN, QUARTILES AND MODE)-EXERCISE 24 (E)
  1. ∆ABC ~ ∆PQR. AD is the median to BC and PM is the median to QR. Prove ...

    Text Solution

    |

  2. In the given figure, if DE || BC, AE = 8 cm, EC = 2 cm and BC = 6 cm, ...

    Text Solution

    |

  3. The mean of 1,7,5,3,4 and 4 is m. The numbers 3,2,4,2,3,3 and p have m...

    Text Solution

    |

  4. In a malaria epidemic, the number of cases diagnosed were as follows: ...

    Text Solution

    |

  5. In the given figure, XY || QR, PQ/XQ=7/3 and PR = 6.3 cm, find YR

    Text Solution

    |

  6. The marks of 20 students in a test were as follows, 2,6,8,9,10,11,11...

    Text Solution

    |

  7. If PQR is an equilateral triangle and PX ⊥ QR, find the value of PX^2.

    Text Solution

    |

  8. The sides AB and AC and the perimeter P, of ∆ABC are respectively thre...

    Text Solution

    |

  9. The distribution given below, shows the marks obtained by 25 students ...

    Text Solution

    |

  10. The mean of the following distribution is 52 and the frequency of clas...

    Text Solution

    |

  11. In the figure, EF || AC, BC = 10 cm, AB = 13 cm and EC = 2 cm, find AF

    Text Solution

    |

  12. A Mathematics aptitude test of 50 students was recorded as follows: ...

    Text Solution

    |

  13. In the figure ABC and DBC are two right triangles. Prove that AP × PC ...

    Text Solution

    |

  14. Marks obtaind by 40 students in a short assessment is given below, whe...

    Text Solution

    |

  15. Find the mode and the median of the following data 13, 16, 12, 14, 19...

    Text Solution

    |

  16. The median of the following observation 11, 12, 14, (x - 2), (x + 4), ...

    Text Solution

    |

  17. The numbers 6, 8, 10 ,12, 13, and x are arranged in an ascending order...

    Text Solution

    |

  18. (Use a graph paper for this question). The daily pocket expenses of 20...

    Text Solution

    |

  19. In the given figure, QA ⊥ AB and PB ⊥ AB. If AO = 20 cm, BO = 12 cm, P...

    Text Solution

    |

  20. The mean of the following numbers is 68. Find the value of 'x'. 45, ...

    Text Solution

    |