Home
Class 10
MATHS
In A B C , /A is obtuse, P B|A C and Q ...

In ` A B C` , `/_A` is obtuse, `P B_|_A C` and `Q C_|_A B` . Prove that: `A BxxA Q=A CxxA P` (ii) `B C^2=(A CxxC P+A BxxB Q)`

Promotional Banner

Topper's Solved these Questions

  • SURFACE AREAS AND VOLUMES

    RD SHARMA ENGLISH|Exercise All Questions|420 Videos

  • TRIGONOMETRIC IDENTITIES

    RD SHARMA ENGLISH|Exercise All Questions|254 Videos

Similar Questions

Explore conceptually related problems

In figure /_A C B=90^@ and C D_|_A B . Prove that (B C^2)/(A C^2)=(B D)/(A D) .

In Figure, A B=A C\ a n d\ D B=D Cdot\ Prove that /_A B D=/_A C D

In Figure, if B D_|_A C and C E_|_A B , prove that (i) /_\A E C ~ /_\A D B (ii) (C A)/(A B)=(C E)/(D B)

In a \ A B C ,\ A D bisects /_A\ a n d\ /_C >/_Bdot Prove that /_A D B >\ /_A D C .

In A B C , if B D_|_A C and B C^2=2\ A C C D , then prove that A B=A C .

In A B C ,\ \ /_A=60o . Prove that B C^2=A B^2+A C^2-A B.A C .

In Figure, /_A C B=90dot and C D_|_A B . Prove that (C B^2)/(C A^2)=(B D)/(A D)

In Figure, /_B C D=/_A D C and /_A C B=/_B D Adot Prove that A D=B C and /_A=/_B

In Figure, A P || B Q\ || C R . Prove that a r\ ( A Q C)=\ a r\ (P B R)

In Fig. if P Q|| B C and P R|| C D . Prove that (i) (A R)/(A D)=(A Q)/(A B) (ii) (Q B)/(A Q)=(D R)/(A R) .

RD SHARMA ENGLISH-TRIANGLES-All Questions
  1. In Fig. 4.220, D is the mid-point of side B C and A E|B C . If B...

    Text Solution

    |

  2. In Fig. 4.221, /B<90o and segment A D|B C , show that b^2=h^2+a^...

    Text Solution

    |

  3. In A B C , /A is obtuse, P B|A C and Q C|A B . Prove that: A BxxA ...

    Text Solution

    |

  4. In a right A B C right-angled at C , if D is the mid-point of B...

    Text Solution

    |

  5. In a quadrilateral A B C D , /B=90^o , A D^2=A B^2+B C^2+C D^2 , pro...

    Text Solution

    |

  6. In an equilateral A B C , A D|B C , prove that A D^2=3\ B D^2

    Text Solution

    |

  7. A B D is a right triangle right-angled at A and A C|B D . Show t...

    Text Solution

    |

  8. A guy wire attached to a vertical pole of height 18m is 24m long an...

    Text Solution

    |

  9. An aeroplane leaves an airport and flies due north at a speed of 10...

    Text Solution

    |

  10. In each of the figures [4.222 (i)-(iv)] given below, a line segment...

    Text Solution

    |

  11. In A B C , points P and Q are on C A and C B , respectively s...

    Text Solution

    |

  12. In Figure, D E || C B . Determine A C and A E .

    Text Solution

    |

  13. In Figure, given that /\ A B C ~ /\ P Q R and quad\ ABCD ~ quad\ PQRS...

    Text Solution

    |

  14. In A B C , P and Q are points on sides A B and A C respectively s...

    Text Solution

    |

  15. In each of the following figures, you find two triangles. Indicate ...

    Text Solution

    |

  16. In /\ P Q R , M and N are points on sides P Q and P R respectively ...

    Text Solution

    |

  17. In A B C , P and Q are points on sides A B and A C respectively s...

    Text Solution

    |

  18. In Figure, /\ A M B ~ /\ C M D ; determine M D in terms of x ,\ y an...

    Text Solution

    |

  19. In A B C , the bisector of /A intersects B C in D . If A B=18 c m ...

    Text Solution

    |

  20. In Figure, l || m Name three pairs of similar triangles with proper ...

    Text Solution

    |