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 the difference of two acute angles is

A

`60^(@)`

B

`15^(@)`

C

`75^(@)`

D

`30^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL II) (LECTURE SHEET (ADVANCED)) (More than one correct answer Type Questions)|19 Videos
  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL II) (LECTURE SHEET (ADVANCED)) (Matrix Matching Type Questions)|9 Videos
  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-IV) (LEVEL-II) (Matrix Matching Type Questions)|2 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 2sqrt2 times the length of the perpendicular drawn from the opposite vertex, to it then the diffrence of two acute angles is

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

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

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-ADDITIONAL PRACTICE EXERCISE (LEVEL 1 (MAIN)) (Straight Objective Type Questions)
  1. Let D be the middle point of the side BC of a triangle ABC. If the tri...

    Text Solution

    |

  2. In the given figure, what is the radius of the inscribed circle?

    Text Solution

    |

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

    Text Solution

    |

  4. If Pis a point on the altitude AD of the triangle ABC such that angleC...

    Text Solution

    |

  5. If in DeltaABC,A=(pi)/(7),B=(2pi)/(7),C=(4pi)/(7) y then a^(2)+b^(2)+c...

    Text Solution

    |

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

    Text Solution

    |

  7. In a DeltaABC, if cot A :cot B:cot C = 30:19:6 then the sides a,b,c ar...

    Text Solution

    |

  8. In DeltABc, Delta=6 abc=60, r=1. Then the value of (1)/(a)+(1)/(b)+(1)...

    Text Solution

    |

  9. In an equilateral triangle, the inradius, circumradius, and one of the...

    Text Solution

    |

  10. If two sides of a triangle are roots of the equation x^(2)- 7x + 8 = 0...

    Text Solution

    |

  11. ABC is an equilateral triangle of side 4cm. If R,r, and h are the circ...

    Text Solution

    |

  12. A circle is inscribed in a trianlge ABC touching the side AB at D such...

    Text Solution

    |

  13. For triangle ABC, R = 5/2 and r=1. Let I be the incenter of the triang...

    Text Solution

    |

  14. Let C be incircle of DeltaABC. If the tangents of lengths t(1),t(2) an...

    Text Solution

    |

  15. In an acute angle triangle ABC r+r(1)=r(2)+r(3) and angleB gt (pi)/(3)...

    Text Solution

    |

  16. If in triangle ABC, sum "sin"(A)/(2)=(6)/(5) and sum II(1)=9 (where l(...

    Text Solution

    |

  17. In DeltaABC with usual notations if r=1, r(1)=7 and R=3, the DeltaABC ...

    Text Solution

    |

  18. Which of the following expresses the circumference of a circle inscrib...

    Text Solution

    |

  19. The area of the circle and the area of a regular polygon of n sides an...

    Text Solution

    |

  20. In any triangle, the minimum value of r(1),r(2),r(3) l r^(3) is equal...

    Text Solution

    |