Home
Class 11
MATHS
The base of a triangle is 80 and one of ...

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

A

15

B

17

C

19

D

21

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise LECTURE SHEET EXERCISE - I (More than One correct answer Type Questions) |4 Videos
  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise LECTURE SHEET EXERCISE - I (Matrix Matching Type Questions)|1 Videos
  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|132 Videos
  • PLANES

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|30 Videos
  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISES|55 Videos

Similar Questions

Explore conceptually related problems

The base of a triangle is 80 and one of the base angles is 60^@ . IF the sum of the lengths of the other two sides is 90, then the shortest side is

Converse of Pythagoras theorem: In a triangle if the square of one side is equal to the sum of squares of the other two sides, then the angle opposite to the first side is a right angle and the triangle is a right angled triangle.

If the base of a triangle and the ratio of the lengths of the other two unequal sides are given, then the veterx lies on

The base of the right angle is 7 cm more than its altitude. If the hypotenuse is 13cm, find the other two sides.

The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides.

Let one of the sides of a triangle be 17 cm and the sum of all the sides of the triangle be 40 cm. If the sum of two adjacent sides is 35 cm, then the area (in sq. cms) of the triangle is

The base of a triangle is a and ratio of remaining two sides is r ( r lt 1) then greatest altitude is

Two sides of a triangle is given . If the area of a triangle is maximum, then the angle between the two sides is

The altitude of a right traingle is 4 cm less than its base. If the hypotenuse is 20cm, find the other two sides.

The altitude of a right triangle is 7cm less then its base. If the hypotenuse is 13cm, find the other two sides.

AAKASH SERIES-PROPERTIES OF TRIANGLES-LECTURE SHEET EXERCISE - I ( Straight Objective Type Questions )
  1. In triangle ABC , a = 4, b = 3 and angle A = 60^(@) . Then c is root...

    Text Solution

    |

  2. In a Delta ABC , if D is the mid point of BC and AD is perpendicular ...

    Text Solution

    |

  3. The base of a triangle is 80 and one of base angle is 60^(@) . If the...

    Text Solution

    |

  4. If the sides of a triangle are in A.P and greatest angle exceeds the l...

    Text Solution

    |

  5. If D is mid point of the side BC of a triangle ABC and AD is perpendic...

    Text Solution

    |

  6. Two circles of radii a and b cut each other at an angle theta then len...

    Text Solution

    |

  7. In the given figure, AB is the diameter of the circle centered at O. I...

    Text Solution

    |

  8. In triangle ABC, D is mid point of BC, if 'AD' is perpendicular to 'AC...

    Text Solution

    |

  9. With usual notation , if in triangle ABC, (b + c)/11 = (c + a)/12 = (...

    Text Solution

    |

  10. The sides of a triangle are three consecutive natural numbers and its ...

    Text Solution

    |

  11. In Delta ABC , 2ac sin ""( 1)/(2) (A-B+C)=

    Text Solution

    |

  12. Let ABC be a triangle such that angle ACB = pi//6 and c denote the le...

    Text Solution

    |

  13. If the lengths of the sides of triangle are 3, 5, and 7, then the larg...

    Text Solution

    |

  14. If in a triangle ABC , a^(2) Cos^(2) A = b^(2) + c^(2) , then

    Text Solution

    |

  15. The side of a triangle are in the ratio 1 : sqrt3 : 2, then the angles...

    Text Solution

    |

  16. ( a- b) ^(2) cos ^(2) ""(C ) /(2) + ( a+b) ^(2) sin ^(2) "" ( C )/(2) ...

    Text Solution

    |

  17. In Delta ABC , if the sides are a = 3, b = 5 and c = 4 , then sin . B...

    Text Solution

    |

  18. In Delta ABC , " if " 1/(b+c) + 1/(c+a) = 3/(a + b + c) , then C is eq...

    Text Solution

    |

  19. A longer side of a parallelogram is 10 cm and the shorter is 6cm. If t...

    Text Solution

    |

  20. If (a + b)^(2) = c^(2) + ab " in a " Delta ABC " and if " sqrt2 (sin ...

    Text Solution

    |