Home
Class 10
MATHS
ABC is a Triangle and PQ is a straight l...

ABC is a Triangle and PQ is a straight line meeting AB in P and AC in Q. IF AP=1 cm and BP= 3cm, AQ=1..5 cm, CQ=4.5 cm. Prove that area of `DeltaAPQ=1/16` (area of `DeltaABC`).

Promotional Banner

Topper's Solved these Questions

  • SIMILAR TRIANGLES

    BEYOND PUBLICATION|Exercise EXERCISE|143 Videos
  • SETS

    BEYOND PUBLICATION|Exercise EXERCISE|247 Videos
  • STATISTICS

    BEYOND PUBLICATION|Exercise EXERCISE|141 Videos

Similar Questions

Explore conceptually related problems

P and Q are points on sides AB and AC respectively of triangle ABC . If AP = 4cm, PB= 8cm, AQ = 3cm and QC =6cm, show that BC = 3PQ.

In DeltaABC, angleABC = 90^@ , AD = DC, AB = 12cm and BC = 6.5 cm. Find the area of DeltaADB .

In /_\ABC , D and E are points on AB and AC respectively. If AB=14 cm, AD=3.5 cm, AE=2.5 cm and AC=10 cm, show that DE|\|BC .

In DeltaABC , E and F are the points on the sides AB and AC respectively. IF AE=2 cm, EB=2.5 cm, AF=4 cm, and FC=5 cm, then………………

ABC is a right angled triangle at A. AD_|_BC , AB=5cm. BC=13cm, AC=12cm. find area of /_\ABC .

Delta ABC ~ Delta DEF . BC = 4 cm and EF=6cm area of Delta ABC = 54 cm^(2) Determine the area of Delta DEF .

In Delta ABC, if a=3 cm, b=4 cm, c=5 cm, then cos ""C/2=

DeltaABC~DeltaDEF ,BC=3cm, EF=4cm and area of DeltaABC = 54 cm^2 . Determine the area of DeltaABC .

In the adjacent figure triangle AHK ~ triangle ABC . If AK = 10cm, BC = 3.5cm and HK = 7cm, find AC.

In DeltaABC AC=12 cm , AB=5 cm and angleBAC=30^@ , then area of the DeltaABC is……………

BEYOND PUBLICATION-SIMILAR TRIANGLES-EXERCISE
  1. ABC is a Triangle and PQ is a straight line meeting AB in P and AC in ...

    Text Solution

    |

  2. In triangle ABC, DE||BC and AD = 1/3 BD. If BC = 4.5cm, Find DE.

    Text Solution

    |

  3. In the adjacent figure triangle AHK ~ triangle ABC. If AK = 10cm, BC ...

    Text Solution

    |

  4. In the adjacent figures, S and T are points on the sides PQ and PR res...

    Text Solution

    |

  5. In the adjacent figure, (OA)/(OC) = (OD)/(BC). Prove that angle A = a...

    Text Solution

    |

  6. In the adjacent figure, if triangle PQS ~triangle ROQ, prove that PS||...

    Text Solution

    |

  7. In the adjacent figure, QA and PB are perpendiculars to AB. IF AO= 10c...

    Text Solution

    |

  8. In the adjacent figure DE||BC and (AD)/(DB) = 3/5. If AC = 4.8cm, f...

    Text Solution

    |

  9. P and Q are points on sides AB and AC respectively of triangle ABC. I...

    Text Solution

    |

  10. Prove that if the area of two similar triangles are equal, then they a...

    Text Solution

    |

  11. In the trapezium ABCD,AB||CD and AB = 2CD. If the area of triangle AOB...

    Text Solution

    |

  12. D,E,F are the mid points of the sides BC, CA and AB respectively of a ...

    Text Solution

    |

  13. If two triangles are equiangular, prove that the ratio of the correspo...

    Text Solution

    |

  14. If two traingles are equilatangular prove that the ratio of the corres...

    Text Solution

    |

  15. In the adjacent figure, triangle ABC and triangle DBC are on the same ...

    Text Solution

    |

  16. The areas of two similar triangles ABC and PQR are in the ratio 9 : 16...

    Text Solution

    |

  17. In the following a, b and c denote the lenghts of the sides of a trian...

    Text Solution

    |

  18. In the following a, b and c denote the lenghts of the sides of a trian...

    Text Solution

    |

  19. In the following a, b and c denote the lenghts of the sides of a trian...

    Text Solution

    |

  20. In the following a, b and c denote the lenghts of the sides of a trian...

    Text Solution

    |

  21. Two poles of heights 23m and 30m stand on the plane ground. If the dis...

    Text Solution

    |