Home
Class 12
MATHS
In a triangle ABC,vertex angles A,B,C an...

In a triangle ABC,vertex angles A,B,C and side BC are given .The area of `DeltaABC` is

A

`(s(s-a)(s-b)(s-c))/2`

B

`(b^(2)sinCsinA)/(sinB)`

C

ab sin C

D

`1/2(a^(2)sinBsinC)/(sinA)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA|Exercise Chapter Test|55 Videos

  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|13 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 a triangle ABC, the sides b,c are given.If there is an error delta A in measuring angle A.Then side a is error delta a in the side a is

In triangle ABC right angled at B, if the two sides AB and BC are in the ratio 1 : 3, evaluate the value of sin C.

ABC is a right angled triangle. B being the right angle. Mid-points of BC and AC are respectively B' and A'. Area of DeltaA'B'C' is

DeltaABC is a right triangle, right angled at B. angleC is a given acute angle. So side BC is base, a side AB is altitude and side AC is hypotenuse for given acute angle C. Find the ratio of sin C.

/_\ABC is a right triangle, right angled at B. angleC is a given acute angle. So side BC is base, a side AB is altitude and side AC is hypotenuse for given acute angle C. The ratio (BC)/(AC) is equal to ________

DeltaABC is a right triangle, right angled at B. angleC is a given acute angle. So side BC is base, a side AB is altitude and side AC is hypotenuse for given acute angle C. ("Base")/("Altitude") is equal to ______

DeltaABC is a right triangle, right angled at B. angleC is a given acute angle. So side BC is base, a side AB is altitude and side AC is hypotenuse for given acute angle C. ("Hypotenuse")/("Altitude") is equal to ______

OBJECTIVE RD SHARMA-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Exercise
  1. In triangle ABC,b=sqrt3 c=1 and angleA=30^(@) then the measure of the ...

    Text Solution

    |

  2. The area of the triangle ABC,in which a=1,b=2angleC=60^(@) is

    Text Solution

    |

  3. In a triangle ABC,vertex angles A,B,C and side BC are given .The area ...

    Text Solution

    |

  4. The area of the circle and the area of a regular polygon of n sides an...

    Text Solution

    |

  5. If cotA/2=(b+c)/a ,then the DeltaABC,is

    Text Solution

    |

  6. In a DeltaABC ,tan(A/2)=5/6 ,tan(C/2)=2/5,then

    Text Solution

    |

  7. In a triangle ABC , the line joining the circumcentre and incentre is ...

    Text Solution

    |

  8. In a triangle ABC,r=

    Text Solution

    |

  9. The ex-radii of a triangle r(1),r(2),r(3) are the hamonic progression ...

    Text Solution

    |

  10. In any triangle A B C , prove that: a^3cos(B-C)+b^3cos(C-A)+c^3cos(A-B...

    Text Solution

    |

  11. If c^2 = a^2 + b^2, 2s = a + b + c, then 4s(s-a) (s - b)(s-c)

    Text Solution

    |

  12. The sides of a triangle are 13,14,15, then the radius of its in-circle...

    Text Solution

    |

  13. If a cos A=b cos B , then the triangle ,is

    Text Solution

    |

  14. The in-radius of the triangle whose sides are 3,5,6,is

    Text Solution

    |

  15. In an equilaterial triangle of side 2sqrt3 cms, the circum-radius ,is

    Text Solution

    |

  16. If the angles of a triangle are in the ratio 1:2:3,the corresponding s...

    Text Solution

    |

  17. In any !ABC , (Sigma)((sin^(2)A+sinA+1)/(sinA)) is always greater tha...

    Text Solution

    |

  18. In any !ABC , (Sigma)((sin^(2)A+sinA+1)/(sinA)) is always greater tha...

    Text Solution

    |

  19. In a right angled !ABC sin^(2)A+sin^(2)B+sin^(2)C=

    Text Solution

    |

  20. In any DeltaABC if 2 cosB=a/c ,then the triangle ,is

    Text Solution

    |