Home
Class 10
MATHS
In the given figure, ABC and AMP are two...

In the given figure, ABC and AMP are two right triangles, right angled at B and M respectively. Prove that :
`(CA)/(PA)=(BC)/(MP)`

Text Solution

Verified by Experts

The correct Answer is:
`(CA)/(PA)=(BC)/(MP)`
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    KUMAR PRAKASHAN|Exercise EXERCISE 6.4|9 Videos
  • TRIANGLES

    KUMAR PRAKASHAN|Exercise EXERCISE 6.5|23 Videos
  • TRIANGLES

    KUMAR PRAKASHAN|Exercise EXERCISE 6.2|12 Videos
  • SURFACE AREAS AND VOLUMES

    KUMAR PRAKASHAN|Exercise TEST YOUR SKILLS|5 Videos

Similar Questions

Explore conceptually related problems

In the given figure, ABC and AMP are two right triangles, right angled at B and M respectively. Prove that : DeltaABC ~ DeltaAMP

Delta ABC and Delta AMP are two right triangles right angled at B and M respectively. Prove that (i) Delta ABC ~ Delta AMP and (ii) (CA)/(PA) = (BC)/(MP) .

In the given figure, ABC is a triangle right angled at B. D and E are ponts on BC trisect it. Prove that 8AE^(2) = 3AC^(2) + 5AD^(2) .

In the given figure, ABD is a triangle right angled at A and AC bot BD . Show that AC^(2)= BC*DC

In the given figure, ABD is a triangle right angled at A and AC bot BD . Show that AD^(2)= BD*CD

In the given figure, ABC and DBC are two triangles on the same base BC. Prove that (ar(ABC))/(ar(DBC))= (AO)/(DO) .

In the given figure, ABC is a right triangle, right angled at A. AB = 3 cm and AC = 4 cm. Semicircles are drawn on AB, AC and BC as diameters. Find the area of the shaded region.

In the given figure, ABC and DBC are two triangles on the same base BC. If AD intersects BC at O, show that (ar(ABC))/(ar(DBC))= (AO)/(DO) .

In the given figure ABC is a right triangle and right angled at B such that /_BCA = 2/_BAC. Show that hypotenuse AC = 2BC.

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

KUMAR PRAKASHAN-TRIANGLES-EXERCISE 6.3
  1. Digonal AC and BD of a trapezium ABCD with AB||DC intersects each othe...

    Text Solution

    |

  2. In the given figure (QR)/(QS)=(QT)/(PR)" and "/1= /2. Show that DeltaP...

    Text Solution

    |

  3. S and T are points on sides PR and QR of DeltaPQR such that /P= /RTS. ...

    Text Solution

    |

  4. In the given figure, if DeltaABE cong DeltaACD, show that DeltaADE ~ D...

    Text Solution

    |

  5. In the given figure, altitudes AD and CE of DeltaABC intersect each ot...

    Text Solution

    |

  6. In the given figure, altitudes AD and CE of DeltaABC intersect each ot...

    Text Solution

    |

  7. In the given figure, altitudes AD and CE of DeltaABC intersect each ot...

    Text Solution

    |

  8. In the given figure, altitudes AD and CE of DeltaABC intersect each ot...

    Text Solution

    |

  9. E is a point on the side AD produced of a parallelogram ABCD and BE in...

    Text Solution

    |

  10. In the given figure, ABC and AMP are two right triangles, right angled...

    Text Solution

    |

  11. In the given figure, ABC and AMP are two right triangles, right angled...

    Text Solution

    |

  12. CD and GH are respectively the bisectors of /ACB" and "/EGF such that ...

    Text Solution

    |

  13. CD and GH are respectively the bisectors of /ACB" and "/EGF such that ...

    Text Solution

    |

  14. CD and GH are respectively the bisectors of /ACB" and "/EGF such that ...

    Text Solution

    |

  15. In the given figure, E is a point on side CB produced of an isosceles ...

    Text Solution

    |

  16. Sides AB and BC and median AD of a DeltaABC are respectively proportio...

    Text Solution

    |

  17. D is a point on the side BC of a triangle ABC such that /ADC= /BAC. Sh...

    Text Solution

    |

  18. Sides AB and BC and median AD of a DeltaABC are respectively proportio...

    Text Solution

    |

  19. A vertical pole of length 6 m casts a shadow 4 m long on the ground an...

    Text Solution

    |

  20. If AD and PM are medians of triangles ABC and PQR respectively , where...

    Text Solution

    |