Home
Class 11
MATHS
In a triangle with sides a, b and c a s...

In a triangle with sides a, b and c a semicircle touching the sides AC and CB is inscribed whose diameter lies on AB. Then , the radlus of the semicircle is:

A

`a/2`

B

`Delta/s`

C

`Delta/(a+b)`

D

`(2Delta)/(a+b)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SETS AND RELATIONS

    PATHFINDER|Exercise QUESTION BANK|56 Videos

  • STATISTICS

    PATHFINDER|Exercise QUESTION BANK|45 Videos

Similar Questions

Explore conceptually related problems

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

AB is a line segment of length 48 cm and C is its mid-point. If three semicircles are drawn at AB, AC and CB using as diameters, then radius of the circle inscribed in the space enclosed by three semicircles is

In a right triangle ABC right-angled at B, if P and Q are points on the side AB and AC respectively, then___

Let a,b,c be the sides of triangle whose perimeter is p and area is A, then

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

In a triangle ABC, right angled at A. The radius of the inscribed circle is 2cm. Radius of the circle touching the side BC and also sides AB and AC produced is 15cm. The length of the side BC measured in cm is a, then 9a/13 is........

In an acute angled triangle A B C , a semicircle with radius r_a is constructed with its base on BC and tangent to the other two sides. r_b a n dr_c are defined similarly. If r is the radius of the incircle of triangle ABC then prove that 2/r=1/(r_a)+1/(r_b)+1/(r_c)dot

In Delta ABC, angle A = (pi)/(3) and its incircle of unit radius. Find the radius of the circle touching the sides AB, AC internally and the incircle of Delta ABC externally is x , then find the value of x.

Incircle of DeltaABC touches the sides BC, AC and AB at D, E and F, respectively. Then answer the following question The length of side EF is

PATHFINDER-SOLUTION OF TRIANGLE AND HEIGHT AND DISTANCE-QUESTION BANK
  1. If in DeltaABC,1/(a+c)+1/(b+c)=3/(a+b+c), then angleC is equal to

    Text Solution

    |

  2. In a DeltaABC, the point D divides BC in the ratio 1:2 Also AD is perp...

    Text Solution

    |

  3. In a triangle with sides a, b and c a semicircle touching the sides A...

    Text Solution

    |

  4. From the top of a tower , which is 240m high , if the angle of depres...

    Text Solution

    |

  5. If the length of the shadow of a vertical pole on the horizontal groun...

    Text Solution

    |

  6. The ratio of the length of a rod and its shadow is sqrt3:1:. The angle...

    Text Solution

    |

  7. If the angles of elevation of a tower from two points distance a and b...

    Text Solution

    |

  8. The angle of depression of two boatsm as observes from the masthead o...

    Text Solution

    |

  9. A tower subtends an angle of 30^@ at a point on the same level as its ...

    Text Solution

    |

  10. The shadow of a tower , when the angle of elevation of the sun is 45^@...

    Text Solution

    |

  11. The angles of depression of the top and bottom of 8 m tall tower from ...

    Text Solution

    |

  12. The angles of elevation of the bottom and the top of the tower fixed ...

    Text Solution

    |

  13. A tower is 10sqrt3 metres high. If a point on the ground is 30m away ...

    Text Solution

    |

  14. The shadow of a vertical tower on level of ground increased by 10m wh...

    Text Solution

    |

  15. Two posts are just on the opposite side of a road. The heights of the ...

    Text Solution

    |

  16. A man on the top of a vertical observation tower observes a car movin...

    Text Solution

    |

  17. Two men standing on either side of a tower 60m high observe the angle ...

    Text Solution

    |

  18. Two sides of a triangle are of lengths 2a and 2b and contain an angle ...

    Text Solution

    |

  19. An isosceles triangle has two equal sides of length 'a' and angle betw...

    Text Solution

    |

  20. The height of a right circular cone is 40 cm and semi-vertical angle...

    Text Solution

    |