Home
Class 12
MATHS
The angle of a right-angled triangle are...

The angle of a right-angled triangle are in AP. Then , find the ratio of the in-radius and the perimeter.

A

`(2+sqrt3), 2sqrt3`

B

`(2+sqrt3),sqrt3`

C

`(2-sqrt3):2sqrt3`

D

`(2-sqrt3):4sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|97 Videos

  • PLANE AND STRAIGHT LINE IN SPACE

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|31 Videos

  • REAL FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos

Similar Questions

Explore conceptually related problems

If the angle of a righta angled triangle are in A.P. then the ratio of the in -radius and the perimeter, is

The sides of a right angled triangle arein A.P. , then they are in the ratio

If the length of sides of right angled triangle are in AP, then their ratio is

The lengths of the medians through acute angles of a right-angled triangle are 3 and 4. Find the area of the triangle.

If the sides of a right angled triangle are in A.P then the sines of the acute angles are

If the angles of a triangle are in the ratio 4:1:1, then the ratio of the longest side to the perimeter is

One angle of a right-angled triangle is 38^(@) . Find the other angle.

If the difference between the two sides of a right-angled triangle is 2 cm and the area of the triangle is 24 cm^(2) , find the perimeter of the triangle.

The legs of a right- angled triangle area in the ratio 5:12. If its ara is 120 sq. m, find the legs.

If two acute angles of a right angled triangle are in the ratio 2 : 3 , find the measure of all angles of the triangle.

OBJECTIVE RD SHARMA ENGLISH-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Chapter Test
  1. if A+ B + C = pi, and cos A = cos B cos C, show that 2 cot B cot C=1.

    Text Solution

    |

  2. Prove that a(b^(2) + c^(2)) cos A + b(c^(2) + a^(2)) cos B + c(a^(2) +...

    Text Solution

    |

  3. The sides of a triangle are x^2+x+1,2x+1,a n dx^2-1 . Prove that the g...

    Text Solution

    |

  4. In a triangleABC," if "C=60^(@)," then "(a)/(b+c)+(b)/(c+a)=

    Text Solution

    |

  5. In a triangleABC, if a,c,b are in A.P. then the value of (a cos B-b co...

    Text Solution

    |

  6. If a DeltaABC is right angled at B, then the diameter of the incircle ...

    Text Solution

    |

  7. The angle of a right-angled triangle are in AP. Then , find the ratio ...

    Text Solution

    |

  8. The angle of a triangle are in the ratio 1 : 2 : 7, prove that the rat...

    Text Solution

    |

  9. In DeltaABC, let a=5, b=4 and cos (A-B=(31)/(32)), then which of the f...

    Text Solution

    |

  10. In a triangleABC"if c"=(a+b) sin theta and cos theta=(ksqrtab)/(a+b),"...

    Text Solution

    |

  11. In triangleABC," if"(s-a)/(Delta)=1/8, (s-b)/(Delta)=1/12 and (s-c)/(D...

    Text Solution

    |

  12. In a triangle ABC if 2a=sqrt(3)b+c, then possible relation is

    Text Solution

    |

  13. If in a triangle A B C ,acos^2(C/2)+ c cos^2(A/2)=(3b)/2, then the si...

    Text Solution

    |

  14. The sides of a right angled triangle are in A.P., then they are in the...

    Text Solution

    |

  15. ln a triangle ABC, B=90^@ then the value of tan(A/2)=

    Text Solution

    |

  16. In a triangleABC," if "B=90^(@), then the value of tan""A/2 in terms o...

    Text Solution

    |

  17. In a DeltaABC ,a =5 , b= 4 , and tan(C/2)=sqrt(7/9), then c =

    Text Solution

    |

  18. In a triangleABC," if "C=60^(@)," then "(a)/(b+c)+(b)/(c+a)=

    Text Solution

    |

  19. If p(1),p(2),p(3) are altitudes of a triangle ABC from the vertices A,...

    Text Solution

    |

  20. Show that (r(1))/(bc)+(r(2))/(ca)+ (r(3))/(ab)=2R-r

    Text Solution

    |