Home
Class 10
MATHS
In Fig. 4.177, A C B ∼ A P Q . If B ...

In Fig. 4.177, ` A C B ∼ A P Q` . If `B C=10 c m ,` `P Q=5c m ,` `B A=6. 5 c m` and `A P=2. 8 c m` find `C A` and `A Q` . Also, find the area `( A C B): a r e a\ ( A P Q)` . (FIGURE)

Text Solution

AI Generated Solution

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 ~ /_\A P Q . If B C=8c m , P Q=4c m , B A=6. 5 c m and A P=2. 8 c m , find C A and A Q .

In Fig. 4.88, A C B ~ A P Qdot If B C=8c m , P Q=4c m , B A=6. 5 c m , A P=2. 8 c m , find C A and A Q . (FIGURE)

In Fig. 4.91, Q A and P B are perpendiculars to A B . If A O=10 c m , B O=6c m and P B=9c m . Find A Q . (FIGURE)

In Figure, D E || B C in /_\ A B C such that B C=8c m , A B=6c m and D A=1. 5 c m . Find D E .

In Figure, P Q || B C and A P : P B=1:2 . Find (a r e a( A P Q))/(a r e a( A B C)) .

If A B ,\ A C ,\ P Q are tangents in Fig. 10.51 and A B=5c m , find the perimeter of A P Q . (FIGURE)

In Figure, if A P=P B , then (a) A C=A B (b) A C=B C (c) A Q=Q C (d) A B=B C

In Figure, M ,N and P are the mid-points of A B ,A C and B C respectively. If M N=3c m ,N P=3. 5c m and M P=2. 5c m , calculate B C ,A B and A Cdot

In Fig. 4.166, P B and Q A are perpendiculars to segment A Bdot If P O=5c m , Q O=7c m and Area P O B=150\ c m^2 find the area of Q O A . (FIGURE)

P and Q are points on sides A B and A C respectively of A B C . If A P=3c m , P B=6c m , A Q=5c m and Q C=10 c m , show that B C=3\ P Q .

RD SHARMA ENGLISH-TRIANGLES-All Questions
  1. Triangles A B C and D E F are similar. If area ( A B C)=16\ c m^2 ,...

    Text Solution

    |

  2. Triangles A B C and D E F are similar. If area ( A B C)=36\ c m^2 ,...

    Text Solution

    |

  3. In Fig. 4.177, A C B ∼ A P Q . If B C=10 c m , P Q=5c m , B A=6. 5...

    Text Solution

    |

  4. The areas of two similar triangles are 81\ c m^2 and 49\ c m^2 resp...

    Text Solution

    |

  5. The areas of two similar triangles are 169\ c m^2 and 121\ c m^2 re...

    Text Solution

    |

  6. Two isosceles triangles have equal vertical angles and their areas ...

    Text Solution

    |

  7. The areas of two similar triangles are 25\ c m^2 and 36\ c m^2 resp...

    Text Solution

    |

  8. The corresponding altitudes of two similar triangles are 6 cm and 9...

    Text Solution

    |

  9. A B C is a triangle in which /A=90^o,\ \ A N|B C ,\ \ B C=12 c m and...

    Text Solution

    |

  10. In Fig. 4.178, D E∥ B C (FIGURE) (i) If D E=4c m , B C=6c m and Are...

    Text Solution

    |

  11. In A B C ,\ D and E are the mid-points of A B and A C respectively...

    Text Solution

    |

  12. In Figure, /\ A B C and /\ D B C are on the same base B C . If A D a...

    Text Solution

    |

  13. A B C D is a trapezium in which AB is parallel to CD . The diagona...

    Text Solution

    |

  14. In A B C , P divides the side A B such that A P : P B=1:2 . Q is a ...

    Text Solution

    |

  15. The areas of two similar triangles are 100\ c m^2 and 49\ c m^2 res...

    Text Solution

    |

  16. The areas of two similar triangles are 121\ c m^2 and 64\ c m^2 res...

    Text Solution

    |

  17. If ΔA B C ∼ ΔD E F such that A B=5c m , area (Δ A B C)=20\ c m^2 an...

    Text Solution

    |

  18. In A B C , P Q is a line segment intersecting A B at P and A C at ...

    Text Solution

    |

  19. The areas of two similar triangles A B C and P Q R are in the ra...

    Text Solution

    |

  20. A B C is a triangle and P Q is a straight line meeting A B in P an...

    Text Solution

    |