Home
Class 9
MATHS
Find the area of an isosceles triangle...

Find the area of an isosceles triangle having the base `x\ c m\ ` and one side `y\ c m`

Text Solution

Verified by Experts

If h is the height of the triangle
Then,`h^2=y^2−x^2/4`
`=>h=sqrt((4y^2−x^2)/4)`
`=1/2xxbasexxh`
`=x/2sqrt((4y^2-x^2)/4)cm^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

Find the area of an isosceles triangle having the base 6cm and the length of each equal side 5cm.

Find the area of an isosceles right triangle having the length of each equal side 5 cm

Find the area of an isosceles triangle having each of whose equal sides is 13 cm and whose base is 24 cm.

Find the area of an isosceles triangle whose equal sides are 8 cm each and the third side is 10 cm ?

The area of an isosceles triangle having base2 cm and the length of one of the equal sides 4 cm, is

Find the area of an isosceles triangle each of whose equal sides measures 13cm and whose base measures 20cm.

Find the area of an isosceles triangle each of whose equal sides measures 13 cm and whose base measures 20 cm.

If the angle at the vertex of an isosceles triangle having the maximum area for the given length of the median to one of its equal sides,is x then 5cos x is equal to

The area of an isosceles triangle each of whose equal sides is 13cm and whose base is 24 cm is:

RD SHARMA-HERON'S FORMULA-All Questions
  1. Find the area of a triangle whose base and altitude are 5cm and 4cm ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. Let Delta be the area of a triangle. Find the area of a triangle who...

    Text Solution

    |

  9. If each side of a triangle is doubled, then find percentage increase...

    Text Solution

    |

  10. If each side of an equilateral triangle is tripled then what is the...

    Text Solution

    |

  11. The sides of a triangle are 16 c m ,\ 30 c m\ a n d\ 34 c mdot Its a...

    Text Solution

    |

  12. The sides of a triangle are 11m, 60m and 61m. Then altitude to its sma...

    Text Solution

    |

  13. The sides of a triangle are 7\ c m ,\ 9\ c m\ a n d\ 14\ c mdot Its ...

    Text Solution

    |

  14. The sides of a triangle field are 325 m ,\ 300 m\ a n d\ 125 mdot It...

    Text Solution

    |

  15. The sides of a triangle are 50 c m , 78 c m and 112 c m The smallest ...

    Text Solution

    |

  16. The sides of a triangle are 11 c m ,\ 15 c m\ a n d\ 16 c mdot\ The...

    Text Solution

    |

  17. If the length of median of an equilateral triangle is x cm then its ar...

    Text Solution

    |

  18. The lengths of the sides of △ABC are consecutive integers. In △ABC has...

    Text Solution

    |

  19. In Figure, the ratio ofA D to D C is 3: 2. If the area of Delta A ...

    Text Solution

    |

  20. The base and hypotenuse of a right triangle are respectively 5cm and...

    Text Solution

    |