Home
Class 9
MATHS
In triangleABC, if L and M are the point...

In `triangleABC`, if L and M are the points on AB AC, respectivley such that LM||BC. Prove that ar(LOB) = ar(MOC)

Promotional Banner

Topper's Solved these Questions

  • AREA OF PARALLELOGRAMS AND TRIANGLES

    MODERN PUBLICATION|Exercise EXERCISE|83 Videos
  • CIRCLES

    MODERN PUBLICATION|Exercise EXERCISE|94 Videos

Similar Questions

Explore conceptually related problems

In triangleABC , it L and M are points on AB and AC respectively such that LM||BC. Prove that : ar(triangleLBC) = ar(triangleMBC)

In triangleABC , it L and M are points on AB and AC respectively such that LM||BC. Prove that : ar(triangleLCM) = ar(triangleLBM)

ABCD is parallelogram. X and Y are the mid-points of BC and CD respectively. Prove that ar (DeltaAXY) =3/8 ar (||)^(gm) ABCD .

ABCD is parallelogram. X and Y are the mid-points of BC and CD respectively. Prove that ar (DeltaAXY) =3/8 ar (||gm ABCD) .

ABCD is a parallelogram. L and M are points on AB and DC respectively and AL = CM. Prove that LM and BD bisect each other.

In triangleABC,D is the mid-point of AB and P is point on BC. If CQ||PD meets AB in Q then prove that : ar(BPQ) = 1/2 ar(ABC)

D and E are points on sides AB and AC respectively of DeltaABC such that ar (DBC) = ar (EBC). Prove that DE II BC .

In figure. D and E are the mid-points o sides. AB, AC respectively of triangleABC . If ar(triangleABC) = 256 cm^2 , then find ar(triangleBDE)

ABC and BDE are two equilateral triangles such that D is the mid-point of BC. If AE interesects BC at F, show that : ar(BDE) = 1/4 ar(ABC)

ABC and BDE are two equilateral triangles such that D is the mid-point of BC. If AE interesects BC at F, show that : ar(ABC) = 2ar(BEC)

MODERN PUBLICATION-AREA OF PARALLELOGRAMS AND TRIANGLES-EXERCISE
  1. In triangleABC, if L and M are the points on AB AC, respectivley such ...

    Text Solution

    |

  2. In the figure. Show that ABCD is a parallelogram. Calculate the are...

    Text Solution

    |

  3. Find the area of a rhombus whose diagonals are of lengths 10 cm and 8....

    Text Solution

    |

  4. Calculate the area of trap. PQRS, given in the figure.

    Text Solution

    |

  5. In the figure. ABCD in a trapezium in which AB||DC. Proe that ar(trian...

    Text Solution

    |

  6. In a quad. ABCD it is given that BD = 16 cm. If AL bot BD and CM bot B...

    Text Solution

    |

  7. ABCD is a parallelogram whose diagonals intersect at E. AC is produced...

    Text Solution

    |

  8. ABCD is a parallelogram whose diagonals intersect at E. AC is produced...

    Text Solution

    |

  9. P and Q are respectively the midpoints of sides AB and BC or a triangl...

    Text Solution

    |

  10. P and Q are respectively the midpoints of sides AB and BC or a triangl...

    Text Solution

    |

  11. P and Q are respectively the midpoints of sides AB and BC or a triangl...

    Text Solution

    |

  12. In fig. ABCD and AEFG are two parallelograms. If angleC=55^@ and deter...

    Text Solution

    |

  13. ABCD and AEFD are two parallelograms Prove that: ar(triangleAPE) : a...

    Text Solution

    |

  14. In Fig. ABCD is a parallelogram. Prove that ar (DeltaACP) = ar (Del...

    Text Solution

    |

  15. In triangleABC, it L and M are points on AB and AC respectively such t...

    Text Solution

    |

  16. In triangleABC, it L and M are points on AB and AC respectively such t...

    Text Solution

    |

  17. D and E are points on sides AB and AC respectively of DeltaABC such th...

    Text Solution

    |

  18. D and E are points on sides AB and AC respectively of DeltaABC such th...

    Text Solution

    |

  19. ABCD is parallelogram. X and Y are the mid-points of BC and CD respect...

    Text Solution

    |

  20. PQRS and PABC are two parallelograms of equal area. Prove that QC||BR

    Text Solution

    |

  21. Two parallelograms ABCD and AEFB are drawn on opposite sides of AB. Pr...

    Text Solution

    |