Home
Class 11
MATHS
If the hypotenuse of a right angled tria...

If the hypotenuse of a right angled triangle is four times the length of the perpendicular drawn from the opposite vertex to it, then one of the acute angles is

A

`(pi)/(12) `

B

`(pi)/(6)`

C

`( pi)/(6) `

D

` (3pi)/(8)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise LECTURE SHEET EXERCISE - I ( Straight Objective Type Questions ) |58 Videos

  • 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 EXERCISE - II|148 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

If the hypotenuse of a right angled triangle is four times the length of the perpendicular drawn from the opposite vertex to it, then the difference of two acute angles is

If the hypotenuse of a right angled triangle is 2sqrt2 times the length of the perpendicular drawn from the opposite vertex, to it then the diffrence of two acute angles is

In a right angled triangle the hypotenuse is 2sqrt(2) times the perpendicular draen from the opposite vertex. Then the other acute angles of the triangle are

If one acute angle of a right-angled triangle is 20^@ , the other angle is__

The maximum area of a right angled triangle with hypotenuse h is

In a right angled triangle one is 43^@ , then the third angle is__

If the length of sides of right angled triangle are in A.P., then the sines of the acute angles are

The ends of the hypotenuse of a right angled triangle are (2,0,-3) ,(0,4,1) then the locus of the third vertex is

Show that in a right angled triangle, the hypotenuse is the longest side.

AAKASH SERIES-PROPERTIES OF TRIANGLES-PRACTICE EXERCISE
  1. In Delta ABC , if AB = 12, BC =13,CA = 5 then the distance of A fro...

    Text Solution

    |

  2. If D is the mid-point of the side BC of triangle ABC and AD is perpend...

    Text Solution

    |

  3. If the hypotenuse of a right angled triangle is four times the length ...

    Text Solution

    |

  4. If the hypotenuse of a right angled triangle is 2sqrt2 times the le...

    Text Solution

    |

  5. If 2sqrt3 is the inradius of an equilateral triangle then the leng...

    Text Solution

    |

  6. The inventre of Delta ABC is the of its excentral triangle

    Text Solution

    |

  7. cos ^(2) ((A)/(2)) + cos ^(2) ((B)/(2)) +cos ^(2) (( C )/(2)) =

    Text Solution

    |

  8. In Delta ABC if 5r = 2R then cos A + cos B + cos C =

    Text Solution

    |

  9. If p1 ,p2,p3 are the lengths of altitudes of Delta ABC from the ...

    Text Solution

    |

  10. If P1 , P2 , P3 are lengths of altitudes of a triangle from its v...

    Text Solution

    |

  11. In Delta ABC, if a= 30 ,b= 24, c= 18 , then r=

    Text Solution

    |

  12. In Delta ABC, if a= 13, b= 14, c= 15 , then r2 =

    Text Solution

    |

  13. If 2,3,6 are exradii of triangle , then its inradius is

    Text Solution

    |

  14. If the area of a triangle is 6.sq units and its inradius is 2 unit...

    Text Solution

    |

  15. If the area of Delta ABC with sides a,b,c is Delta, then the are...

    Text Solution

    |

  16. In Delta ABC, if r2 = 3 , r3 = 4 then the length of the altitude ...

    Text Solution

    |

  17. If r1 = 36,r2 = 18 r3 = 12 then the area of Delta ABC is

    Text Solution

    |

  18. If angle C = 90 ^(@) ," then " 2(r + R) =

    Text Solution

    |

  19. If r1 = r2 = r3 then triangle is

    Text Solution

    |

  20. if x,y,z are the distances of the vertices of Delta ABC from its...

    Text Solution

    |