Home
Class 12
MATHS
The angles of a triangle are in the rati...

The angles of a triangle are in the ratio 3 : 5 : 10, the ratio of the smallest side to the greatest side is

A

`1 : sin10^(@)`

B

`1 : 2 sin 10^(@)`

C

`1 : 2 cos 10^(@)`

D

`1 : 2 cos10^(@)`

Text Solution

AI Generated Solution

To solve the problem step by step, we will follow the reasoning laid out in the video transcript. ### Step-by-Step Solution: 1. **Identify the Angles**: Given that the angles of the triangle are in the ratio 3:5:10, we can denote the angles as: - Let angle A = 3x - Let angle B = 5x ...
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section I - Solved Mcqs|95 Videos
  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise SOLVED MCQ|2 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

The angle of a triangle are in the ratio 1 : 2 : 7, prove that the ratio of the greatest side to the least side is (sqrt(5)+1):(sqrt(5)-1) .

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

If the angles of a triangle are in the ratio 4:1:1, then the ratio of the longest side to the perimeter is (a) sqrt(3):(2+sqrt(3)) (b) 1:6 (c) 1:2+sqrt(3) (d) 2:3

The angles of a triangle are in the ratio 1:2:3 . What is the sine of the smallest angle?

The angles of a triangle are in a ratio of 8:3:1. the ratio of the longest side of the triangle to the next longest side is

If the angles of a triangle are in the ratio 3:4:5, find the smallest angle in degrees and the greatest angle in radians.

The angles of a triangle are in the ratio 3:4: 5. Find the smallest angle.

The angles in a triangle are in A.P. and the ratio of the smallest angle in degrees to the greatest angle in radians is 60:phi Find the angle of the triangle in degrees and radians.

If the sides of a triangle are in the ratio 3 : 7 : 8 , then find R : r

If the angles of a triangle are in the ratio 2 : 3 : 7 ,then the sides are in the ratio

OBJECTIVE RD SHARMA ENGLISH-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Chapter Test
  1. The angles of a triangle are in the ratio 3 : 5 : 10, the ratio of the...

    Text Solution

    |

  2. If the sides of a triangle are in the ratio 3 : 7 : 8, then find R : r

    Text Solution

    |

  3. The area of a regular polygon of n sides is (where r is inradius, R is...

    Text Solution

    |

  4. If the angles of a triangle are 30^(@) and 45^(@), and the included si...

    Text Solution

    |

  5. In a DeltaABC, angleB=(pi)/(3) and angleC=(pi)/(4) let D divide BC in...

    Text Solution

    |

  6. If A is the area and 2s is the sum of the sides of a triangle, then Al...

    Text Solution

    |

  7. If in a triangle ABC, right angled at B, s-a=3, s-c=2, then the values...

    Text Solution

    |

  8. If the sides of a triangle are a, b and sqrt(a^(2) + ab + b^(2)), then...

    Text Solution

    |

  9. In a DeltaA B Csum(b+c)tanA/2tan((B-C)/2)=

    Text Solution

    |

  10. In triangle ABC, angleA=pi/3 and b:c =2:3, tan theta=sqrt3/5, 0 lt the...

    Text Solution

    |

  11. In a DeltaABC, AD is the altitude from A. Given b gt c, angleC=23^(@)"...

    Text Solution

    |

  12. If the angles A, B, C (in that order) of triangle ABC are in arithmeti...

    Text Solution

    |

  13. If the radius of the incircle of a triangle withits sides 5k, 6k and 5...

    Text Solution

    |

  14. Two sides of a triangle are 2sqrt2 and 2sqrt3cm and the angle opposite...

    Text Solution

    |

  15. In a triangleABC, a=13cm, b=12 and c=5cm The distance of A from BC is

    Text Solution

    |

  16. In a triangleABC,B=pi/8, C=(5pi)/(8). The altitude from A to the side ...

    Text Solution

    |

  17. In DeltaABC, A = (2pi)/(3), b -c = 3 sqrt3 cm and " area of " Delta AB...

    Text Solution

    |

  18. In DeltaABC if a=(b-c)sectheta then (2sqrt(bc))/(b-c)sin(A/2)=

    Text Solution

    |

  19. In a DeltaABC, (a + b + c) (b + c - a) = lambda bc. (where symbols ha...

    Text Solution

    |

  20. If in DeltaABC, a=2b and A=3B, then A is equal to

    Text Solution

    |

  21. Let the angles A , Ba n dC of triangle A B C be in AdotPdot and let b ...

    Text Solution

    |