Home
Class 12
MATHS
Consider a triangle ABC, and that AA', B...

Consider a triangle ABC, and that AA', BB', CC' be the perpendicular form A, B and C upon the sides opposite to them. These three perpendicualrs meets in H, called the orthocenter of the triangle.The triangle `A'B'C'` formed by the feet of the perpendicular is called the pedal triangle of ABC. (Assume `angleA, B, C ne 90^(@)`)

Suppose a triangle ABC has its sides 13, 14 and 15 cm. Then the circumradius of the pedal triangles is (in cm)

A

`65/24`

B

`65/8`

C

` 26/3`

D

`65/16`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Section E (Assertion-Reason Types Questions)|18 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Section F (Matrix-Match Type Questions)|1 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Section-C (Objective Type Questions More than one options are correct )|45 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - J|10 Videos

  • VECTOR ALGEBRA

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-J (Aakash Challengers Questions)|5 Videos

Similar Questions

Explore conceptually related problems

Consider a triangle ABC, and that AA', BB', CC' be the perpendicular form A, B and C upon the sides opposite to them. These three perpendicualrs meets in H, called the orthocenter of the triangle.The triangle A'B'C' formed by the feet of the perpendicular is called the pedal triangle of ABC. (Assume angleA, B, C ne 90^(@) ) Suppose the triangle ABC have angles 60^(@), 70^(@) and 50^(@) . Then the pedal triangle A'B'C' have angles given by

In an acute angle Delta ABC, let AD, BE and CF be the perpendicular from A, B and C upon the opposite sides of the triangle. (All symbols used have usual meaning in a tiangle.) The orthocentre of the Delta ABC, is the

H is orthocenter of the triangle ABC, then AH is equal to :

In a triangle ABC , the sides a , b , c are in G.P., then the maximum value of angleB is

In an acute angle Delta ABC, let AD, BE and CF be the perpendicular from A, B and C upon the opposite sides of the triangle. (All symbols used have usual meaning in a tiangle.) The circum-radius of the Delta DEF can be equal to

In a triangle ABC if sides a = 13, b =14 and c = 15, then reciprocals of r_(1),r_(2),r_(3) are in the ratio

In a triangle ABC, sin A- cos B = Cos C , then angle B is

In a triangle ABC, cos A+cos B+cos C=

In a triangle ABC, if sin A sin B= (ab)/(c^(2)) , then the triangle is :

In an acute angled triangle ABC , let AD, BE and CF be the perpendicular opposite sides of the triangle. The ratio of the product of the side lengths of the triangles DEF and ABC , is equal to

AAKASH INSTITUTE ENGLISH-TRIGNOMETRIC FUNCTIONS -Section D (Linked Comprehension Type Questions)
  1. From algebra we know that if ax^(2) +bx + c=0 , a( ne 0), b, c R has ...

    Text Solution

    |

  2. From algebra we know that if ax^(2) +bx + c=0 , a( ne 0), b, c in R ha...

    Text Solution

    |

  3. In reducing a given trignometric equation to the standard form (sinx =...

    Text Solution

    |

  4. In reducing a given trignometric equation to the standard form (sinx =...

    Text Solution

    |

  5. In reducing a given trignometric equation to the standard form (sinx =...

    Text Solution

    |

  6. There are trignometrical equations that are nonstandard in aspect in t...

    Text Solution

    |

  7. The equation 8 cos^(4) x/2 sin^(2)x/2= x^(2) +1/x^(2), x int (0,4pi] h...

    Text Solution

    |

  8. The equation "cosec " x/2 + " cosec " y/2 + " cosec " z/2=6, where 0 ...

    Text Solution

    |

  9. There are trignometrical equations that are nonstandard in aspect in t...

    Text Solution

    |

  10. The equation 8 cos^(4) x/2 sin^(2)x/2= x^(2) +1/x^(2), x int (0,4pi] h...

    Text Solution

    |

  11. The equation "cosec " x/2 + " cosec " y/2 + " cosec " z/2=6, where 0 ...

    Text Solution

    |

  12. Recall that sinx + cosx =u (say) and sin x cosx =v (say) are connect...

    Text Solution

    |

  13. Recall that sinx + cosx =u (say) and sin x cosx =v (say) are connect...

    Text Solution

    |

  14. Recall that sinx + cosx =u (say) and sin x cosx =v (say) are connect...

    Text Solution

    |

  15. Consider a triangle ABC, and that AA', BB', CC' be the perpendicular f...

    Text Solution

    |

  16. Consider a triangle ABC, and that AA', BB', CC' be the perpendicular f...

    Text Solution

    |

  17. Consider a triangle ABC, and that AA', BB', CC' be the perpendicular f...

    Text Solution

    |

  18. Let us consider a triangle ABC having BC=5 cm, CA=4cm, AB=3cm, D,E are...

    Text Solution

    |

  19. Let us consider a /\ ABC having BC=5 cm, CA=4cm, AB=3cm, D,E are point...

    Text Solution

    |

  20. Let us consider a triangle ABC having BC=5 cm, CA=4cm, AB=3cm, D,E are...

    Text Solution

    |