Home
Class 9
MATHS
In parallelogram A B C D ,A B=10c mdot T...

In parallelogram `A B C D ,A B=10c mdot` The altitudes corresponding to the sides `A B` and `A D` are respectively `7c m` and `8c mdot` Find `A Ddot`

Text Solution

Verified by Experts


`"ar of parallelogram "ABCD=ABxxDM`
`" =ADxxBN`
`ABxxDM=ADxxBN`
`10xx7=ADxx8`
`AD=(10xx7)/8`
`" "=70/8`
`" "=35/4`
`=>8.75cm`
Promotional Banner

Topper's Solved these Questions

  • ALGEBRAIC IDENTITIES

    RD SHARMA|Exercise All Questions|247 Videos

  • CIRCLE

    RD SHARMA|Exercise All Questions|306 Videos

Similar Questions

Explore conceptually related problems

In a parallelogram A B C D ,E ,F are any two points on the sides A B and B C respectively. Show that a r( A D F)=a r( D C E)dot

In a parallelogram A B C D ,\ the bisector of /_A also bisects B C at Xdot Find A B : A D

In a parallelogram A B C D , A B=10 c m , A D=6c mdot The bisector of /_A meets D C in E , A E a n d B C produced meet at Fdot Find the length C Fdot

In a A B C , D and E are points on the sides A B and A C respectively such that D E B C If A D=6\ c m , D B=9\ c m and A E=8\ c m , find A C . (ii) If (A D)/(D B)=3/4 and A C=15\ c m , find A E . (iii) If (A D)/(D B)=2/3 and A C=18\ c m , find A E .

In a A B C , D and E are points on the sides A B and A C respectively such that D E B C If A D=2 c m , A B=6 c m and A C=9 c m , find A E . (ii) If (A D)/(B D)=4/5 and E C=2. 5 c m , find A E . (iii) If A D=x , D B=x-2 , A E=x+2 and E C=x-1 , find the value of x .

p A N D q are any two points lying on the sides D C a n d A D respectively of a parallelogram A B C Ddot Show that a r( A P B)=a r ( B Q C)dot

In a A B C , D and E are points on the sides A B and A C respectively such that D E B C If A D=4 , A E=8 , D B=x-4 , and E C=3x-19 , find x (ii) If A D=8 c m , A B=12 c m and A E=12 c m , find C E . (iii) If A D=4 c m , D B=4. 5 c m and A E=8 c m , find A C .

A B C D is a parallelogram X and Y are the mid-points of B C and C D respectively. Prove that a r( A X Y)=3/8a r(^(gm)A B C D) GIVEN : A parallelogram A B C D in which X and Y are the mid-points of B C and C D respectively. TO PROVE : a r( A X Y)=3/8a r(^(gm)a b c d) CONSTRUCTION : Join B Ddot

E , F , G , H are respectively, the mid-points of the sides A B ,B C ,C D and D A of parallelogram A B C D . Show that the quadrilateral E F G H is a parallelogram and that its area is half the area of the parallelogram, A B C Ddot GIVEN : A quadrilateral A B C D in which L ,F ,G ,H are respectively the mid-points of the sides A B ,B C ,C D and D Adot TO PROVE : (i) Quadrilateral E F G H is a parallelogram a r(^(gm)E F G H)=1/2a r(^(gm)A B C D) CONSTRUCTION : Join A C and H F

In Figure, A B C D is a parallelogram and X ,Y are the mid=points of sides A B and D C respectively. Show that A X C Y is a parallelogram. Figure

RD SHARMA-AREA OF PARALLELOGRAMS AND TRIANGLES-All Questions
  1. D and E are two points on BC such that BD = DE = EC. Show that ar (ABD...

    Text Solution

    |

  2. A villager Itwari has a plot of land of the shape of a quadrilateral...

    Text Solution

    |

  3. In parallelogram A B C D ,A B=10c mdot The altitudes corresponding to ...

    Text Solution

    |

  4. D, E, F are the mid points of side AB, BC, AC prove that BDEF is a pa...

    Text Solution

    |

  5. Prove that If the medians of a A B C intersect at G , show that a r( ...

    Text Solution

    |

  6. Prove that the area of an equilateral triangle is equal to (sqrt(3))...

    Text Solution

    |

  7. In a parallelogram A B C D ,E ,F are any two points on the sides A B a...

    Text Solution

    |

  8. The diagonals of a parallelogram A B C D intersect at Odot A line thro...

    Text Solution

    |

  9. Show that the segment joining the mid-points of a pair of opposite s...

    Text Solution

    |

  10. Diagonals A C and B D of a trapezium A B C D with A B C D intersect e...

    Text Solution

    |

  11. In Figure, A B C D is a quadrilateral and B E|A C and also B E meets D...

    Text Solution

    |

  12. Prove that If a triangle and a parallelogram are on the same base and ...

    Text Solution

    |

  13. In Figure, A B C D E is a pentagon. A line through B parallel to A C m...

    Text Solution

    |

  14. The area of a parallelogram is the product of its base and the corre...

    Text Solution

    |

  15. Prove that Parallelograms on the same base and between the same parall...

    Text Solution

    |

  16. A diagonal of a parallelogram divides it into two triangles of equal...

    Text Solution

    |

  17. Prove that If each diagonal of a quadrilateral separates it into two...

    Text Solution

    |

  18. The area of a triangle is half the product of any of its sides and t...

    Text Solution

    |

  19. Triangles A B C and +DBC are on the same base B C with A, D on opposit...

    Text Solution

    |

  20. If the diagonals A C ,B D of a quadrilateral A B C D , intersect at O ...

    Text Solution

    |