Home
Class 11
MATHS
In a ΔABC, a semicircle is inscribed, wh...

In a ΔABC, a semicircle is inscribed, whose diameter lies on the side c. Then the radius of the semicircle is (Where Δ is the area of the triangle ABC)

Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    ALLEN|Exercise All Questions|1 Videos
  • Solutions of Triangle & Binomial Theorem

    ALLEN|Exercise Do yourself -6|4 Videos

Similar Questions

Explore conceptually related problems

In Figure, C is the center of the semicircle, and the area of the semicircle is 8pi . What is the area of triangle ABC in terms of theta ?

In A B C , as semicircle is inscribed, which lies on the side cdot If x is the lengthof the angle bisector through angle C , then prove that the radius of the semicircle is xsin(C/2)dot

A small card is in the shape of an isosceles triangle with a semicircle on its base. If the diameter of the semicircle is 6 cm, and the hright of the triangle is 3 cm, find the area of the card.

A circle is inscribed in an equilateral triangle of side a. Find the area of any square inscribed in this circle.

If a,b and c are sides of a ritht triangle where c is the hypotenuse, prove that the radius of the circle which touches the sides of the triangle is r = (a + b-c)/(2).

AB is the diameter of a semicircle k, C is an arbitrary point on the semicircle (other than A or B ) and S is the centre of the circle inscribed into triangle ABC, then measure of-

An equilateral triangle of side 9 cm is inscribed in a circle. Find the radius of the circle.

The in-radius of the triangle whose sides are 3,5,6,is

Prove that the area of the semicircle drawn on the hypotenuse of a right angled triangle is equal to the sum of the areas of the semicircles drawn on the other two sides of the triangle

A circle is inscribed in an equilateral triangle of side adot The area of any square inscribed in this circle is ______.

ALLEN-SOLUTION AND PROPERTIES OF TRIANGLE-All Questions
  1. If a/(sinA)=K , then the area of "Triangle ABC" in terms of K and sine...

    Text Solution

    |

  2. In a triangle A B C ,/c=60^0a n d/A=75^0 . If D is a point on A C such...

    Text Solution

    |

  3. In a ΔABC, a semicircle is inscribed, whose diameter lies on the side ...

    Text Solution

    |

  4. In a triangle A B C , right angled at B , then r=(A B+B C-A C)/2 b. r=...

    Text Solution

    |

  5. In triangle A B C where A ,\ B ,\ C are acute, the distances of the or...

    Text Solution

    |

  6. In a Delta ABC, show that (a cos A+b cos B+ c cos C)/(a+b+c)= (r )/(R...

    Text Solution

    |

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

    Text Solution

    |

  8. Show that ((1)/(r (1))+ (1)/(r(2)))((1)/(r(2))+(1)/(r (3)))((1)/(r (3)...

    Text Solution

    |

  9. In a triangle A B C ,(r1+r2)/(1+cosC) is equal to (2a b)/(c"Delta") (b...

    Text Solution

    |

  10. With usual notations in a triangle A B C , if r1=2r2=2r3 then 4a=3b (b...

    Text Solution

    |

  11. If r1,\ r2a n d\ r3 be the radii of excircles of the triangle A B C , ...

    Text Solution

    |

  12. a,b,x are in A.P., are in G.P. and a, b, z are in H.P. then:

    Text Solution

    |

  13. In A B C , if r\ : r1: R=2\ : 12\ :5, where all symbols have their us...

    Text Solution

    |

  14. If a,b A be given in a triangl and c(1) and c(2) two possible values o...

    Text Solution

    |

  15. If A , B , C are angles of a triangle which of the following will not ...

    Text Solution

    |

  16. In a A B C , S/R is equal to s in A+s in B+s in C (b) 4cosA/2cosB/2co...

    Text Solution

    |

  17. If cos A+cos B+2cos C=2 then the sides of the A B C are in (a)A.P. (b...

    Text Solution

    |

  18. The line x/6+y/8=1 cuts the co-ordinate axis at A\ &\ B . If O is orig...

    Text Solution

    |

  19. In triangle ABC, CD is the bisector of the angle C. if cos.(C)/(2) = (...

    Text Solution

    |

  20. D , E , F are the foot of the perpendicular from vertices A , B , C to...

    Text Solution

    |