Home
Class 11
MATHS
If 3, 10 and 15 are the altitudes of a t...

If 3, 10 and 15 are the altitudes of a triangle then area of incircle is

A

`2pi`

B

`9pi`

C

`4pi`

D

`16pi`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-III) (LEVEL-II) (More than one correct answer Type Questions)|5 Videos
  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-III) (LEVEL-II) (Linked Comprehension Type Questions)|9 Videos
  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-III) (LEVEL-I) (Straight Objective Type Questions)|42 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 13,14,15 are the sides of the triangle , then the area of the triangle in sq. unit is

If O(0, 0), A(3, 4), B(4, 3) are the vertices of a triangle then the length of the altitude from O is

If alpha,beta,gamma , are lengths of the altitudes of a triangle ABC with area Delta , then Delta^2/R^2(1/alpha^2+1/beta^2+1/gamma^2)=

A(10,4),B(-4,9) and C(-2,-1) are the vertices of a triangle.Find the equations of the altitude through B

Can you think of a triangle in which the two altitudes of a triangle are two of its’sides?

If A_1 , A_2 , A_3 are areas of excircles, A is the area of incircle of a triangle then (1 ) /( sqrt(A_1)) + (1)/( sqrt(A_2)) + ( 1)/( sqrt(A_3))=

If the altitudes of a triangle are in arithmetic progression, then the sides of the triangle are in

p_1,p_2,p_3 are the altitudes of a triangle ABC drawn from the vertices A,B and C respictively . If Delta is the area of the triangle and 2s is the sum of its sides, a,b and c then 1/(p_1)+1/(p_2)-1/(p_3)=

BE and CF are two equal altitudes of a triangle ABC. Using RHS congruence rule, prove that the triangle ABC is isosceles.

AAKASH SERIES-PROPERTIES OF TRIANGLES-PRACTICE SHEET (EXERCISE-III) (LEVEL-II) (Straight Objective Type Questions)
  1. In DeltaABC, 4R "sin"(A)/(2)"sin"(B)/(2)"sin"(C)/(2)=

    Text Solution

    |

  2. ( a cos A + b cos B + c cos C )/( a +b +c ) =

    Text Solution

    |

  3. r("cot"(A)/(2)"cot"(B)/(2)"cot"(C)/(2))=

    Text Solution

    |

  4. In DeltaABC, if a=26, b=30 conc C=63//65 then r(1):r(2):r(3)=

    Text Solution

    |

  5. In triangle ABC r=(R)/(6) and r(1)=7r. Then the mesaure of angle A=

    Text Solution

    |

  6. In DeltaABC if C=90^(@), 1+sinA-sinB=

    Text Solution

    |

  7. If 3R=4r, then cosA+cosB+cosC=

    Text Solution

    |

  8. In triangle ABc, if A-B=120^(@) and R=8r where R r have their usual m...

    Text Solution

    |

  9. In triangle ABC, base BC and area of triangle D are fixed. Locus of th...

    Text Solution

    |

  10. If alpha,beta,gamma are the lengths of the altitudes of Delta ABC, the...

    Text Solution

    |

  11. If 3, 10 and 15 are the altitudes of a triangle then area of incircle ...

    Text Solution

    |

  12. In a triangle ABC a = 7, b = 8, c = 9 BD is the median and BE is the a...

    Text Solution

    |

  13. If h(1),h(2),h(3) are lengths of altitudes of a Delta^("le")ABC and r ...

    Text Solution

    |

  14. The lengths of medians of a right angled triangle through its acute an...

    Text Solution

    |

  15. In a triangle ABC the maximum value of (a cos^(2)A//2 +b cos^(2)B//2+c...

    Text Solution

    |

  16. The sides of a triangle inscribed in a given circle subtend angles alp...

    Text Solution

    |

  17. Statement-1: If a, b, c are the sides of a triangle, then the minimum ...

    Text Solution

    |

  18. Given an isosceles triangle, whose one angle is 120^(@) and radius of ...

    Text Solution

    |

  19. Two medians drawn from the acute acute angles of a right-angled triang...

    Text Solution

    |

  20. If incircle of radius 4 of a triangle ABC touches the sides BC, CA, AB...

    Text Solution

    |