Home
Class 12
MATHS
The base of a triangle is 80cm and one o...

The base of a triangle is 80cm and one of the base angles is `60^(@)`.If the sum of the lenghts of the other two sides is 90cm,then the length of the shortest side is

A

15cm

B

19cm

C

21cm

D

17cm

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

The base of a trianangles is 80 and one of the base angles is 60^(@) .If the sum of the lenghts of thewo sides is 90 ,then the shortest side is

The hypotenuse of a triangle is 2.5cm. If one of the sides is 1.5cm. find the length of the other side.

The base of an isosceles triangle is 48 cm and one of its equal sides is 30 cm. Find the area of the triangle

The hypotenuse of a right triangle is 25cm. The difference between the lengths of the other two sides of the triangle is 5cm. Find the lengths of these sides.

If in a triangle, square of one side is equal to the sum of squares of the other two sides, then the angle opposite the first side is :

The internal base of an isosceles triangle can be whose area is 60 cm^(2) and the length of one of the equal sides is 13 cm :

The perimeter of a triangle is 67 cm. The first side is twice the length of the second side.The third is 11 cm more than the second side. Find the length of the shortest side of the triangle.

The Hypotenuse of a right triangle is 25 cm and out of the remaining two sides, one is larger than the other by 5 cm, find the lenghts of the other two sides.

The hypotenuse of a right triangle is 17cm long .if one of the remaining two sides is 8 cm in length .find the length of the other side.

The perimeter of an isosceles triangle is 100 cm. If the base is 36 cm, find the length of the equal sides.

OBJECTIVE RD SHARMA-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Exercise
  1. If AD, BE and CF are the medians of a ABC ,then (AD^(2)+BE^(2)+CF^(2))...

    Text Solution

    |

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

    Text Solution

    |

  3. If a^(2),b^(2),c^(2) are in A.P.,then which of the following is also i...

    Text Solution

    |

  4. If in a !ABC , sin^(3)A+sin^(3)B+sin^(3)C=3sinAsinBsinC, then abs(...

    Text Solution

    |

  5. If the ex-radii of a triangle are in H.P.,then the corresponding sides...

    Text Solution

    |

  6. If I is the incentre of a !ABC , then IA:IB:IC is equal to

    Text Solution

    |

  7. In a !ABC ,the HM of the ex-radii is equal to

    Text Solution

    |

  8. In a !ABC if r(1):r(2):r(3)=2:4:6, then a:b:c =

    Text Solution

    |

  9. If in a !ABC,angleA=pi//3 and AD is a median , then

    Text Solution

    |

  10. In a !ABC cos^(2)A/2+cos^(2)B/2+cos^(2)C/2=

    Text Solution

    |

  11. The base of a triangle is 80cm and one of the base angles is 60^(@).If...

    Text Solution

    |

  12. In a !ABC if r(1)=16,r(2)=48 and r(3)=24, then its in-radius ,is

    Text Solution

    |

  13. किसी triangleABC में सिद्ध करे कि ((a + b+ c)^(2))/(a^(2) + b^(2) +...

    Text Solution

    |

  14. In a !ABC if a =26, b= 30 and cos C =63/65, then r(2) =

    Text Solution

    |

  15. In a !ABC if a = 13, b =14 and c = 15, then reciprocals of r(1),r(2),r...

    Text Solution

    |

  16. In a A B C , ifsinAa n dsinB are the roots of the equation c^2x^2-c(a...

    Text Solution

    |

  17. If a,b,c denote the sides of a !ABC and the equations ax^(2)+bx+c=0 an...

    Text Solution

    |

  18. In a Delta ABC if b+c=2a and /A=60^@ then Delta ABC is

    Text Solution

    |

  19. In a Delta ABC, if b=20, c=21and sin A =3/5, then the value of a is

    Text Solution

    |

  20. Let A, B and C are the angles of a plain triangle and tan(A/2)=1/3...

    Text Solution

    |