Home
Class 12
MATHS
In the figure, ABC is a triangle in whic...

In the figure, `ABC` is a triangle in which `/_C=90^(@)` and `AB=5cm`. `D` is a point on `AB` such that `AD=3cm` and `/_ACD=60^(@)`. Then the length of `AC` is

A

`(3)/(sqrt(7))cm`

B

`sqrt((7)/(3))cm`

C

`5sqrt((3)/(7))cm`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SOLUTION OF TRIANGLES

    MODERN PUBLICATION|Exercise Latest questions from AIEE/JEE Examinations|5 Videos

  • SOLUTION OF TRIANGLES

    MODERN PUBLICATION|Exercise Latest questions from AIEE/JEE Examinations|5 Videos

  • SETS

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|6 Videos

  • STATISTICS

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|3 Videos

Similar Questions

Explore conceptually related problems

ABC is right angled triangle in which /_ A = 90^(@) and AB = AC. Find B and C.

ABC is a right triangle in which angleA = 90^(@) and AB = AC. Find angleB and angleC .

ABC is a right angled triangle in which /_A = 90^@ and AB = AC . Show that /_B = /_C .

D is a point on side BC ΔABC such that AD = AC (see figure). Show that AB > AD.

In Fig , ABC is a triangle in which angleABCgt90^(@) and AD bot CB, produced . Prove that AC^(2)=AB^(2)+BC^(2)+2BC.BD

ABC is a triangle . D is a point of AB such that AD=(1)/(4)AB and E is a point on AC such that AE=(1)/(4)AC. If DE =2cm find BC.

In Fig . ABC is a triangle in which angleABClt90^(@)and AD botBC. Prove that AC^(2)=AB^(2)+BC^(2)-2BC.BD.

In Delta ABC , right angle is at B,AB = 5cm and angle ACB =30^(@) Determine the lengths of the sides BC and AC.

MODERN PUBLICATION-SOLUTION OF TRIANGLES-Level-II
  1. If in DeltaABC , cotA, cotB, cotC are in A.P., then

    Text Solution

    |

  2. The sides of a triangle are in A.P and its area is (3)/(5)xx (area of ...

    Text Solution

    |

  3. In the figure, ABC is a triangle in which /C=90^(@) and AB=5cm. D is a...

    Text Solution

    |

  4. In DeltaABC, (acosA+bcosB+ccosC)/(a+b+c) equals: where R and r are cir...

    Text Solution

    |

  5. The ratio of R : r of an equilateral triangle is : where R and r are c...

    Text Solution

    |

  6. H.M of exradii of a triangle is

    Text Solution

    |

  7. In DeltaABC, the inradius and exradii are r,r(1),r(2) and r(3) respect...

    Text Solution

    |

  8. In any triangle ABC, sin.(A)/(2) is

    Text Solution

    |

  9. In DeltaABC, cosA+cosB+cosC gt 1 only if the triangle is

    Text Solution

    |

  10. Let A(0),A(1),A(2),A(3),A(4) and A(5) be the consecutive vertices of a...

    Text Solution

    |

  11. In a DeltaABC , if D is the middle point of BC and AD is perpendicular...

    Text Solution

    |

  12. If the angles of a triangle ABC satisfy the equation : 81^(sin^(2)x)...

    Text Solution

    |

  13. If n,n+1,n+2 where n in N, represent the sides of a triangle ABC, in w...

    Text Solution

    |

  14. If in DeltaABC, (cosA)/(7)=(cosB)/(19)=(cosC)/(25)=k, then : |{:(-(1...

    Text Solution

    |

  15. In a DeltaABC, if |{:(a,b,c),(b,c,a),(c,a,b):}|=0, then : sinAsinB+sin...

    Text Solution

    |

  16. In a DeltaABC, if A=18^(@), b-a=2, ab=4, then the triangle is

    Text Solution

    |

  17. The perimeter of a triangle, right-angled at C, 70, and the in-radius ...

    Text Solution

    |

  18. If in a DeltaABC, sines of angles A and B satisfy : 4x^(2)-2sqrt(6)x...

    Text Solution

    |

  19. In DeltaABC, if the median AD makes an angle theta with AC, and AB=2AD...

    Text Solution

    |

  20. In a DeltaABC, if Re(sinA+sinB+sinC)=96, then the area of the triangle...

    Text Solution

    |