Home
Class 9
MATHS
In the figure PSDA is a parallelogram...

In the figure
PSDA is a parallelogram. Points Q and R are taken on PS such that PQ = QR = RS and PA||QB||RC. Prove that: `ar(trianglePQE) = ar(triangleCFD)`

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

ABCD is a parallelogram and a line through A meets DC at P and BC (produced) at Q. Prove that ar(triangleBPC) = ar(triangleDPQ)

ABCD is a parallelogram and BC is produced to a point Q such that AD = CQ. If AQ intersect DC at P, show that: ar(BPC) = ar(DPQ)

In the APbotQR , PR>PQ and PS=PQ. Prove that AR>AQ

In the figure. ABCD is a parallelogram and O is any point on BC . Prove that ar (triangleABO) + ar (triangleDOC) = ar(triangleODA)

Q is a point on the side SR of a trianglePSR such that PQ=PR. Prove that PS>PQ.

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

PQRS is a ||gm. L is any point on PS and M is any point on QR. Show that: ar(triangleQLR) = ar(triangleQPM) + ar(triangleSRM)

In the figure ABCD and EFGD are two parallelograms and G is the mid-point of CD. Then ar(DPC) = 1/2 ar(EFGD)

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

O is any point on the diagonal PR of a parallelogram PQRS. Prove that : ar(PSO) = ar(PQO)

MODERN PUBLICATION-AREA OF PARALLELOGRAMS AND TRIANGLES-EXERCISE
  1. In the figure PSDA is a parallelogram. Points Q and R are taken on ...

    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

    |