Home
Class 12
MATHS
In a DeltaABC, if a=13,b =14, c =15, the...

In a `DeltaABC`, if a=13,b =14, c =15, then `sinA/2=`

A

`1/(sqrt5)`

B

`2/(sqrt5)`

C

`3/(sqrt5)`

D

`4/(sqrt5)`

Text Solution

Verified by Experts

We have, a = 13, b = 14 and c = 15.
`therefore2s =a+ b + c = 42 rArr a = 21.`
Hence, `sinA/2=(sqrt((21-14)(21-15)))/(14xx15)=sqrt((7xx6)/(14xx15))=1/(sqrt5)`
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

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

    OBJECTIVE RD SHARMA|Exercise SOLVED MCQ|2 Videos
  • PLANE AND STRAIGHT LINE IN SPACE

    OBJECTIVE RD SHARMA|Exercise Chapter Test|31 Videos
  • REAL FUNCTIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

In triangleABC , if a=13, b=14, c=15 , then sinA=

In a DeltaABC, if a=13, b=14and c=15, then angle A is equal to (All symbols used have their usual meaning in a triangle.)

If, in Delta ABC, a = 13, b = 14, c = 15, then : sin (A//2) = ....

In triangleABC , if a=13, b=14, c=15 , then cosB=

In triangle ABC , if a=13,b=14 and c=15 , then sin.(A)/(2)= ...................

In triangleABC , if a=13, b=14, c=15 , then cos((A)/(2))=

In triangleABC , if a=13, b=14, c=15 , then tan((A)/(2))=

In triangle ABC, if a=13,b=14,c=15 then r_(1)=

In triangleABC , if a=13, b=14, c=15 , then A(triangleABC)=

In a triangle ABC, if a=13,b=14 and c=15, then angle A is equal to (All symbols used have their usual meaning in a triangle.)

OBJECTIVE RD SHARMA-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Chapter Test
  1. In a DeltaABC, if a=13,b =14, c =15, then sinA/2=

    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 the reactangle polygen of n sides is (where R is the radiu...

    Text Solution

    |

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

    Text Solution

    |

  5. In a triagnle ABC, angle B=pi/3 " and " angle C = pi/4 let D divide ...

    Text Solution

    |

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

    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 bgtc ,angleC=23^(@) an...

    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 a DeltaABC, A=(2pi)/3, b-c=3sqrt3 cm and area(DeltaABC)=(9sqrt3)/2 ...

    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 , B and C of triangle A B C be in AdotPdot and let b ...

    Text Solution

    |