Home
Class 10
MATHS
In the adjoining figure, a circle touche...

In the adjoining figure, a circle touches all the four sides of a quadrilateral `ABCD` whose sides are `AB=6cm`, `BC=9cm` and `CD=8cm`. Find the length of side `AD`.

Text Solution

Verified by Experts

When a quadriateral `ABCD` is drawn to circumscribe a circle then `AB+CD=AD+BC`.
`:.AD=AB+CD-BC=(6+8-9)cm=5cm`.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CIRCLES

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|15 Videos

  • CIRCLES

    RS AGGARWAL|Exercise Multiple-choice questions (MCQ)|39 Videos

  • CIRCLES

    RS AGGARWAL|Exercise Exercise 8A|16 Videos

  • ARITHMETIC PROGRESSION

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|30 Videos

  • CONSTRUCTIONS

    RS AGGARWAL|Exercise Test Yourself|10 Videos

Similar Questions

Explore conceptually related problems

In Figure 3, a circle touches all the four sides of a quadrilateral ABCD whose sides are AB = 6cm,BC=9cm and CD=8cm. Find the length of side AD.

A circle touches all the four sides of a quadrilateral ABCD .Prove that: AB+CD=BC+DA

Knowledge Check

  • In the figure, a circle touches all the four sides of a quadrilateral ABCD whose sides AB= 6.5 cm, BD= 5.4 cm and CD = 5.3 cm . The length of AC is :

    A
    `4.6` cm
    B
    `5.8` cm
    C
    `6.2` cm
    D
    `6.4` cm

  • A circle touches all the sides of a quadrilateral PQRS, whose sides. PQ=2cm, QR =3cm and RS= 4cm. What is the length of PS?

    A
    3 cm
    B
    2 cm
    C
    1 cm
    D
    4 cm

  • Quadrilateral ABCD is circumscribed to a circle. If AB=6cm , BC=7cm and CD=4cm then the length of AD is

    A
    `3cm`
    B
    `4cm`
    C
    `6cm`
    D
    `7cm`

    • Similar Questions

    Explore conceptually related problems

    A circle touches all the four sides of a quadrilateral ABCD.Prove that AB+CD=BC+DA

    In Fig.10.54 a circle touches all the four sides of a quadrilateral ABCD with AB=6cmBC=7cm and CD=4cm. Find AD. (FIGURE)

    A circle touches all the four sides of a quadrilateral ABCD. If AB = 9 cm, BC= 8 cm and CD = 12 cm, then what is DA equal to?

    If circle touches all the sides of a quadrilateral ABCD, if AB = 7 cm, CD = 3 cm, BC = 8.5 cm. Find the length of AD.

    Construct triangle ABC with sides AB=5cm, BC=9cm, and AC=6cm.

    Home
    Profile