Home
Class 11
MATHS
Two sides of a triangle are sqrt3-1 and ...

Two sides of a triangle are `sqrt3-1` and `sqrt3+1`units and their included angle is `60^@`.Find the other side.

Promotional Banner

Topper's Solved these Questions

  • SETS AND RELATIONS

    PATHFINDER|Exercise QUESTION BANK|56 Videos

  • STATISTICS

    PATHFINDER|Exercise QUESTION BANK|45 Videos

Similar Questions

Explore conceptually related problems

If two sides of a triangle are 2sqrt""3-2 and 2sqrt""3+2 and their included angle is 60^(@) , then the other angles are

The sides of a triangle are in the ratio 1: sqrt3:2. Then the angles are in the ratio

If two sides of a triangle are roots of the equation x^2-7x+8=0 and the angle between these sides is 60^0 then the product of inradius and circumradius of the triangle is 8/7 (b) 5/3 (c) (5sqrt(2))/3 (d) 8

The sides of a triangle are in A.P. and the greatest angle exceeds the least by 90^@ prove that the sides are proportional to sqrt7+1,sqrt7 and sqrt7-1

The sides of a triangles are in A.P.and the greatest angle exceeds the least by 90^(@) , prove that the side are proportional to (sqrt(7)+1), sqrt(7) and (sqrt(7)-1)

If the ratio of three sides of a triangle be sqrt(2) : sqrt(3) : sqrt(5) , then the triangle is always a right-angled triangle.

In a DeltaABC , the median to the side BC is of length 1/sqrt(11-6sqrt3) and it divides the angleA into angles 30^@ and 45^@ Find the length of the side BC.

If the angles of a triangle are in the ratio 1:2:3 and the circumradius is 10 cm, find the lengths of its sides.

If the angles of a triangle are 30^0a n d45^0 and the included side is (sqrt(3)+1)c m then the area of the triangle is______.

The lengths of sides of triangle ABC are a units, b units and sqrt(a^2+ab+b^2) units show that greatest angle of the triangle is 120^@

PATHFINDER-SOLUTION OF TRIANGLE AND HEIGHT AND DISTANCE-QUESTION BANK
  1. In a triangle ABC, the sides are 6cm, 10 cm and 14 cm. Show that the t...

    Text Solution

    |

  2. Two sides of a triangle are sqrt3-1 and sqrt3+1units and their include...

    Text Solution

    |

  3. Solve the triangle if B =30^@, C=60^@, a =6 cm

    Text Solution

    |

  4. Find the ratio of the sides of a triangle whose interior angles are 30...

    Text Solution

    |

  5. In a right -angled triangle, prove that r+2R=S.

    Text Solution

    |

  6. The ex-radii r1,r2,r3 or Delta ABC are in H.P. Show that its sides a,...

    Text Solution

    |

  7. If the sides of a triangle are in the ratio 5:8:11 and theta denotes ...

    Text Solution

    |

  8. In a triangle of base a, the ratio of the other sides is r(lt1). Show...

    Text Solution

    |

  9. Prove that he distance between the circum-centre and the ortho-centre ...

    Text Solution

    |

  10. If r1 =r2+r3+r, prove that the triangle is right angled.

    Text Solution

    |

  11. If in a DeltaABC, the value of cotA, cotB, cotC are in A.P. show a^2,b...

    Text Solution

    |

  12. The angle of depression of a standing bus at stopped B from the top ...

    Text Solution

    |

  13. The shadow of a pole is 9m long when the angle of elevation of the sun...

    Text Solution

    |

  14. From the foot of a 60m high tower the angle of elevation of a minar is...

    Text Solution

    |

  15. From a point on the horizontal line through the foot of a chimney the ...

    Text Solution

    |

  16. A man stands at a point X on the bank of a river and looks at the top...

    Text Solution

    |

  17. The angular elevations of the top of a tower from two points in the s...

    Text Solution

    |

  18. An observer on the top of a monument 500 m above the sea level, observ...

    Text Solution

    |

  19. An observer on the top of a monument 500 m above the sea level, observ...

    Text Solution

    |

  20. A vertical pillar of height h cm stands on the plane ground. At a fi...

    Text Solution

    |