Home
Class 12
MATHS
The perimeter of a triangle is 16 cm. On...

The perimeter of a triangle is 16 cm. One of the sides is of length 6 cm. If the area of the triangle is 12 sq. cm, then the triangle is

A

right angled

B

isoscles

C

equilateral

D

scalene

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA|Exercise Exercise|98 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

The perimeter of a triangle is 16cm. One ofthe sides is of length 6cm .If the area of thetriangle is 12 sq.cm,then the triangle is

The perimeter of a triangle is 115 cm. If two of its sides are 35 cm and 37 cm. Find the third side of the triangle.

The perimeter of a triangle is 16cm. If one side is 6cm, find the other two sides so that the area of the triangle is maximum.

The perimeter of a triangle is 10cm and length of one side is 4cm.The length of remaining sides when area of triangle is minimum are

A triangle with integral sides has perimeter 8 cm. Then find the area of the triangle

The perimeter of a triangle is 50 cm. One side of the triangle is 4 cm longer than the smaller side and the third side is 6 cm less than twice the smaller side. Find the area of the triangle.

If perimeter of a triangle is x cm and its sides are p,q and r cm. what will be the area of triangle ? Use the heron's formula.

The in-radius of a triangle is 6 cm, and the sum of the lengths of its side is 50 cm. The area of the triangle (in square cm.) is

The perimeter of a triangle is 10 cm. If one of the side is 4 cm, then for its maximum area, remaining two sides are

The perimeter of an isosceles triangle is 30cm and each of the equal sides measures 12cm. Find the area of the triangle by using Heron's formula.

OBJECTIVE RD SHARMA-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Chapter Test
  1. If 0 lt x lt pi/2 then the largest angle of a triangle whose sides are...

    Text Solution

    |

  2. The sides of a tringle are 3x+4y, 3y and 5x+5y where x,y gt0, then the...

    Text Solution

    |

  3. The perimeter of a triangle is 16 cm. One of the sides is of length 6 ...

    Text Solution

    |

  4. In a triangleABC," if "(a)/(b^(2)-c^(2))+(c)/(b^(2)-a^(2))=0," then "a...

    Text Solution

    |

  5. In a triangleABC, a^(2) sin 2C+c^(2) sin 2A=

    Text Solution

    |

  6. In a triangleABC, (cos C+cos A)/(c+a)+(cos B)/(b)=

    Text Solution

    |

  7. In in a triangle ABC, sides a,b,c are in A.P. then tan""A/2 tan""C/2

    Text Solution

    |

  8. In a triangle ABC, cos A+cos B+cos C=

    Text Solution

    |

  9. If A+B+C =pi, and cos A = cos B. cos C, then cot B. cot C =

    Text Solution

    |

  10. In triangle ABC,a(b^2+c^2)cos A+b(c^2+a^2)cosB+c(a^2+b^2)cosC=

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. If a triangle is right angled at B, then the diameter of the incircle ...

    Text Solution

    |

  15. If the angle of a righta angled triangle are in A.P. then the ratio of...

    Text Solution

    |

  16. If the angles of a triangle are in the ratio 7:2:1, then prove that th...

    Text Solution

    |

  17. If in DeltaABC, a = 5, b = 4 and cos (A - B) = 31/32, then

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |