Home
Class 14
MATHS
ABC is an isosceles right Angle triangle...

ABC is an isosceles right Angle triangle . I is incentre. Find ratio of area of triangle `Delta AIC and Delta ABC `

A

`1:sqrt(2)+1`

B

`1:sqrt(2)-1`

C

`1:sqrt(2)`

D

`1:2`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CENTRE OF TRIANGLE

    LUCENT PUBLICATION|Exercise EXERCISE-6B|8 Videos
  • CENTRE OF TRIANGLE

    LUCENT PUBLICATION|Exercise EXERCISE-6B|8 Videos
  • ALGEBRAIC IDENTITIES

    LUCENT PUBLICATION|Exercise Exercise - 1B|28 Videos
  • CIRCLE AND ITS TANGENT LINES

    LUCENT PUBLICATION|Exercise EXERCISE 8B|27 Videos

Similar Questions

Explore conceptually related problems

ABC is an isosceles right angle Delta . If Perimeter is P find Area

ABC is a isosceles right angled triangle, right angled at C. prove that AB^(2) = 2AC^(2)

Delta ABC is right-angled at A and AD bot BC . If BC=13 cm and AC=5 cm , find the ratio of areas of Delta ABC and Delta ADC .

In Delta ABC, D and E are the midpoint of AB and AC respectively. Find the ratio of the areas of Delta ADE and Delta ABC .

ABC is an isosceles right angled triangle with angleB = 90^(@) . On the sides AC and AB, two equilateral triangles ACD and ABE have been constructed. The ratio of area of DeltaABE and Delta ACD is

LUCENT PUBLICATION-CENTRE OF TRIANGLE-EXERCISE-6A
  1. In a triangle ABC, AB = 5 cm, BC = 6 cm and CA = 7 cm. If bisectors of...

    Text Solution

    |

  2. In a triangle ABC, AB = 5 cm, BC = 6 cm and CA = 7 cm. If bisectors of...

    Text Solution

    |

  3. The semiperimeter of a triangle is S and its centroid is G. What is th...

    Text Solution

    |

  4. The length of three medians of a triangle are 9 cm, 12 cm and 15 cm. T...

    Text Solution

    |

  5. The ortho centre of a right angled triangle lies

    Text Solution

    |

  6. ABC is an isosceles right Angle triangle . I is incentre. Find ratio o...

    Text Solution

    |

  7. A triangle is formed by joining mid points of sides of a triangle and...

    Text Solution

    |

  8. In a triangle ABC if sides AB = c = 4 cm, side AC = b = 6 cm and BC = ...

    Text Solution

    |

  9. In a triangle ABC if sides AB = c = 4 cm, side AC = b = 6 cm and BC = ...

    Text Solution

    |

  10. In a triangle ABC if sides AB = c = 4 cm, side AC = b = 6 cm and BC = ...

    Text Solution

    |

  11. In a triangle ABC if sides AB = c = 4 cm, side AC = b = 6 cm and BC = ...

    Text Solution

    |

  12. If area of a triangle is 81 cm^(2) and its semiperimeter is 27 cm then...

    Text Solution

    |

  13. If sides of a triangle are respectively 5 cm, 6 cm and 7 cm then radiu...

    Text Solution

    |

  14. The sides of a triangle are 8 cm, 15 cm and 17 cm. The sum of radii of...

    Text Solution

    |

  15. The sides of a triangle are 9 cm, 40 cm and 41 cm. The distance betwee...

    Text Solution

    |

  16. If ratio of sides of a triangle are 4 : 5 : 6 then what is the ratio o...

    Text Solution

    |

  17. The greatest side of a triangle is two more than double of its smalles...

    Text Solution

    |

  18. In a trianlge ABC if A=90^(@), b =3 and c=4 then R : r is

    Text Solution

    |

  19. If sides of a triangle are 3 cm, 4 cm and 5 cm then what is the distan...

    Text Solution

    |

  20. If triangle formed by medians of a right angled triangle is also a rig...

    Text Solution

    |