Home
Class 9
MATHS
A park, in the shape of a quadrilatera...

A park, in the shape of a quadrilateral `A B C D ,\ h a s\ /_C=90^@,\ A B=9c m ,\ B C=12 c m ,\ C D=5m\ a n d\ A D=8mdot` How much area does it occupy? So, we can calculate BD by applying Pythagoras theorem

Text Solution

AI Generated Solution

To find the area of the quadrilateral ABCD, we can break it down into two triangles: triangle BCD and triangle ABD. ### Step 1: Calculate the length of diagonal BD using the Pythagorean theorem. Since angle C is 90 degrees, we can apply the Pythagorean theorem in triangle BCD. \[ BD^2 = BC^2 + CD^2 ...
Promotional Banner

Topper's Solved these Questions

  • GRAPHICAL REPRESENTATION OF STATISTICAL DATA

    RD SHARMA|Exercise All Questions|68 Videos
  • INTRODUCTION TO EUCLID'S GEOMETRY

    RD SHARMA|Exercise All Questions|24 Videos

Similar Questions

Explore conceptually related problems

A park in the shape of a quadrilateral ABCD has /_C=90^(@),AB=9m,BC=12m,CD=5m and AD=8m How much area does it occupy

In Figure, /_A O B=90^0,\ A C=B C ,\ O A=12\ c m\ a n d\ O C=6. 5 c mdot Find the area of A O Bdot

In Figure, diagonal A C of a quadrilateral A B C D bisects the angles A\ a n d\ C . Prove that A B=A D\ a n d\ C B=C D

Calculate the area of the quadrilateral A B C D as shown in Fig.33, given that B D=42\ c m , A C=28\ c m , O D=12\ c m and A C_|_B D .

In a quadrilateral A B C D , given that /_A+/_D=90o . Prove that A C^2+B D^2=A D^2+B C^2 .

Find the area of the following polygon, if A L=10 c m , A M=20 c m , A N=50 c m , A O=60 c m a n d A D=90 c mdot Figure

In Fig. 10.57, a circle is inscribed in a quadrilateral A B C D in which /_B=90o . If A D=23 c m , A B=29 c m and D S=5c m , find the radius r of the circle. (FIGURE)

In Figure, A B C D is a rectangle with sides A B=10 c m\ a n d\ A D=5c mdot Find the area of E F G

In quadrilateral A B C D show in Figure. A B D C a n d A D_|_A Bdot Also, A B=8m , D C=B C=5mdot Find the area of the quadrilateral.

In a A B C , A D is the bisector of /_B A C . If A B=8c m , B D=6c m and D C=3c m . Find A C 4c m (b) 6c m (c) 3c m (d) 8c m

RD SHARMA-HERON'S FORMULA-All Questions
  1. The sides of a quadrangular field, taken in order are 26 m ,\ 27 m, ...

    Text Solution

    |

  2. The sides of quadrilateral, taken in order are 5, 12, 14 and 15 metr...

    Text Solution

    |

  3. A park, in the shape of a quadrilateral A B C D ,\ h a s\ /C=90^@,\ ...

    Text Solution

    |

  4. Two parallel side of a trapezium are 60 c m\ a n d\ 77 c m and other...

    Text Solution

    |

  5. Find the area of a rhombus whose perimeter is 80 m and one of whose di...

    Text Solution

    |

  6. A rhombus sheet, whose perimeter is 32 m and whose one diagonal is...

    Text Solution

    |

  7. Find the area of a quadrilateral A B C D in which A D=24 c m ,\ /B A...

    Text Solution

    |

  8. Find the area of a quadrilateral A B C D in which A B=42 m ,B C=21c m ...

    Text Solution

    |

  9. Find the area of the quadrilateral ABCD; in which AB = 7 cm; BC =6 cm;...

    Text Solution

    |

  10. The adjacent sides of a parallelogram A B C D measure 34 c ma n d20 c ...

    Text Solution

    |

  11. The adjacent sides of a parallelogram ABCD measures 34 cm and 20 cm a...

    Text Solution

    |

  12. Find the area of the blades of the magnetic compass as shown in figure

    Text Solution

    |

  13. A hand fan is made by stitching 10 equal size triangular strips of two...

    Text Solution

    |

  14. Find the area of a triangle whose base and altitude are 5cm and 4cm ...

    Text Solution

    |

  15. Find the area of a triangle whose sides are 3cm, 4cm and 5cm respect...

    Text Solution

    |

  16. Find the area of an isosceles triangle having the base x\ c m\ and ...

    Text Solution

    |

  17. Find the area of an equilateral triangle having each side 4c mdot In...

    Text Solution

    |

  18. Find the area of an equilateral triangle having each side x\ c m

    Text Solution

    |

  19. The perimeter of a triangular field is 144 m and the ratio of the si...

    Text Solution

    |

  20. Find the area of an equilateral triangle having altitude h\ c mdot

    Text Solution

    |