Home
Class 12
MATHS
In an equilateral triangle, the inradius...

In an equilateral triangle, the inradius, circumradius, and one of the exradii are in the ratio

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise For Sesssion 4|10 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise For Sesssion 5|7 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise For Sesssion 2|20 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|52 Videos

  • SEQUENCES AND SERIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos

Similar Questions

Explore conceptually related problems

An equilateral triangle of side 9 cm.

Construct an equilateral triangle of side 5.5 cm

In an equilateral triangles all angles are……………. .

In an equilateral triangle, prove that centroid and circumcentre coincide.

Two equilateral triangles are always congruent.

Equilateral triangle has one line of symmetry.

The area of an equilateral triangle with side 2 sqrt3 cm is :

Find the ratio of the circum-radius and the inradius of DeltaABC, whose sides are in the ratio 4:5:6.

ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise For Sesssion 3
  1. In triangle ABC .If(r(1)+ r (2))(r (2)+ r (3)) (r(3)+r(1))=4Rs^(2)Then...

    Text Solution

    |

  2. If r(2) +r(3)+ r = r(1), then show that Delta is right angled.

    Text Solution

    |

  3. In an equilateral triangle, the inradius, circumradius, and one of the...

    Text Solution

    |

  4. Show that ((1)/(r (1))+ (1)/(r(2)))((1)/(r(2))+(1)/(r (3)))((1)/(r (3)...

    Text Solution

    |

  5. The ex-radii r(1), r(2), r(3) of a DeltaABC are in Hp, show that its s...

    Text Solution

    |

  6. In a DeltaABC, show that r(1)* r(2)* r(3)*r=Delta^(2).

    Text Solution

    |

  7. If l(1), l(2), l(3) are respectively the perpendicular from the vertic...

    Text Solution

    |

  8. If the angle opf a triangle are in the ratio 1:2:3, then show that the...

    Text Solution

    |

  9. Show that, 4 R r cos ""A/2cos ""B/2 cos ""C/2 =Delta

    Text Solution

    |

  10. If in Delta ABC, (a -b) (s-c) = (b -c) (s-a), prove that r(1), r(2), r...

    Text Solution

    |

  11. In a triangle ABC,if 1/r1^2+1/r2^2+1/r3^2+1/r^2=

    Text Solution

    |

  12. Prove that (r1-r)(r2-r)(r3-r)=4R r^2

    Text Solution

    |

  13. Show that ((1)/(r (1))+ (1)/(r(2)))((1)/(r(2))+(1)/(r (3)))((1)/(r (3)...

    Text Solution

    |

  14. Prove that (r+r1)tan((B-C)/2)+(r+r2)tan((C-A)/2)+(r+r3)tan((A-B)/2)=0

    Text Solution

    |

  15. Show that (b-c)/(r (1))+ (c-a)/(r (2))+(a-b)/(r (3)) =0

    Text Solution

    |

  16. If the sides be a,b,c, than find (r(1)- r)(r (2)+r(3)).

    Text Solution

    |

  17. If a,b,c are in AP, then show that r(1), r(2), r(3) are in HP.

    Text Solution

    |

  18. In Delta ABC with usual notation r1/(bc)+r2/(ca)+r3/(ab) is

    Text Solution

    |

  19. Show that r(1)+r(2)=c cot ((C)/(2))

    Text Solution

    |

  20. Show that Rr (sin A+sin B + sin C) =Delta

    Text Solution

    |