Home
Class 12
MATHS
A circumcircle is a circle which passes ...

A circumcircle is a circle which passes through all vertices of a triangle and an incircle is a circle which is inscribed in a triangle touching all sides of a triangle. Let ABC be a right angled triangle whose radius of circumcircle is 5 and its one side AB = 6. The radius of incircle of triangle ABC is r. The value of r is

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A circumcircle is a circle which passes through all vertices of a triangle and an incircle is a circle which is inscribed in a triangle touching all sides of a triangle. Let ABC be a right-angled triangle whose radius of the circumcircle is 5 and its one side AB = 6. The radius of incircle of triangle ABC is r. Area of Delta ABC is

let ABC be a right angled triangle at C. If the inscribed circle touches the side AB at D and (AD)(BD)=11, then find the area of triangle ABC..

Knowledge Check

  • In a right -angled triangle ABC, angleABC = 90^@ , AB = 5 cm and BC = 12 cm . The radius of t he circumcircle of the triangle ABC is

    A
    7.5 cm
    B
    6 cm
    C
    6.5 cm
    D
    7cm

  • ABC is an equilateral triangle of side x cm. The radius of its incircle is

    A
    ` (x)/(sqrt3) cm `
    B
    ` sqrt3 x cm `
    C
    ` (2x)/(sqrt3) cm `
    D
    ` (x)/(2sqrt3) cm `

  • The radius of the circumcircle of a right angled triangle is 15 cm and the radius of its inscribed circle is 6 cm. Find the sides of the triangle.

    A
    30, 40, 41
    B
    18, 24, 30
    C
    30, 24, 25
    D
    24, 36, 20

    • Similar Questions

    Explore conceptually related problems

    State the type of circle which touches all the sides of a triangle and the circle passing through all the vertices of a triangle.

    If the radius of the circumcircle of an equilateral triangle is 5 cm then find the radius of its in circle.

    If the sides of a triangle are 8,15,17 then the radius of its circumcircle is

    In a right angle triangle ABC. angleB is a right angle and angleC=60^(@) . If radius of small circle is 1 cm. then find R = ?

    If sides of a triangle are respectively 5 cm, 6 cm and 7 cm then radius of the circumcircle of the triangle is

    Home
    Profile