Home
Class 12
MATHS
ABC is a triangle. Circles with radii as...

ABC is a triangle. Circles with radii as shown are drawn inside the triangle each touching two sides and the incircle. Find the radius of the incircle of the `DeltaABC`.

Text Solution

Verified by Experts

The correct Answer is:
r = 11
Promotional Banner

Topper's Solved these Questions

  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 4( LEVEL I)|4 Videos

  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 4( LEVEL II)|10 Videos

  • SOLUTION OF TRIANGLE

    MOTION|Exercise EXERCISE - 2 (LEVEL II)|6 Videos

  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -4 Level -II Previous Year /JEE Advanced|22 Videos

  • STRAIGHT LINE

    MOTION|Exercise Exercise 4 Lelvel -II|7 Videos

Similar Questions

Explore conceptually related problems

ABC is a triangle.Circles with radii as shown are drawn inside the triangle each touching two sides and the incircle.Find the radius of the incircle of the Delta ABC.

The sides of a triangle are 7 cm, 15 cm and 18 cm respectively. What is the radius of the incircle of the triangle?

Two legs of a right triangle are 8sqrt(pi) and 9sqrt(pi) as shown.A circle is drawn so that the area inside the circle but outside the triangle equals the area inside the triangle but outside the circle.The radius of the circle is (U se pi=(22)/(7))

Radius of incircle and circumradius of a triangle

In triangle ABC,a:b:c=4:5:6. The ratio of the radius of the circumcircle to that of the incircle is

One of the side of a triangle is divided into line segmentof lengths 6cm and 8cm by the point of tangency of the incircle of the triangle.If the radius of the incircle of the triangle.If length (in cm) of the longer of the two remaining sides of the triangle is:

A circumcircle is a circle which passes through all vertices of a triangle and an incircle is a circle which is inscribed in a triangle touching all sides of a triangle. Let ABC be a right-angled triangle whose radius of the circumcircle is 5 and its one side AB = 6. The radius of incircle of triangle ABC is r. Area of Delta ABC is

If the radius of the circumcircle of an equilateral triangle is 6 cm , then find the radius of its incircle.

MOTION-SOLUTION OF TRIANGLE-EXERCISE - 3
  1. Prove that : (r1+r2) tan (C )/(2) = (r3- r) cot ( C)/(2) = c

    Text Solution

    |

  2. Prove that 2R cos A = 2R + r - r(1)

    Text Solution

    |

  3. The triangle ABC is a right angled triangle, right angle at A. The rat...

    Text Solution

    |

  4. The radii r(1), r(2), r(3) of the escribed circles of the triangle ABC...

    Text Solution

    |

  5. Let a, b and c be the sides of a DeltaABC. If a^2, b^2 and c^2 are t...

    Text Solution

    |

  6. If D is the mid point of CA in triangle ABC and Delta is the area of t...

    Text Solution

    |

  7. Show that the radii of the three escribed circles of a triangle are ro...

    Text Solution

    |

  8. If atanA+btanB=(a+b)tan((A+B)/2) prove that triangle ABC is isosceles.

    Text Solution

    |

  9. DEF is the triangle formed by joining the points of contact of the inc...

    Text Solution

    |

  10. DEF is the triangle formed by joining the points of contact of the inc...

    Text Solution

    |

  11. DEF is the triangle formed by joining the points of contact of the inc...

    Text Solution

    |

  12. A cyclic quadrilateral A B C D of areal (3sqrt(3))/4 is inscribed in u...

    Text Solution

    |

  13. If two times the square of the diameter of the circumcircle of a trian...

    Text Solution

    |

  14. In any triangle ABC, if (cos A + 2 cos C)/(cos A + 2 cos B) = (sin B)/...

    Text Solution

    |

  15. The triangle ABC (with side lengths a ,b ,c as usual) satisfies loga^2...

    Text Solution

    |

  16. ABC is a triangle. Circles with radii as shown are drawn inside the tr...

    Text Solution

    |

  17. a, b, c ar the length of sides BC, CA, AB respectively of DeltaABC sa...

    Text Solution

    |

  18. a, b, c ar the length of sides BC, CA, AB respectively of DeltaABC sa...

    Text Solution

    |

  19. If a,b,c are the sides of triangle ABC satisfying log (1 +c/a)+log a -...

    Text Solution

    |

  20. Matching :

    Text Solution

    |