In figure- - ABC is circumscribing a circle- Then the length of AB is-

You visited us 1 times! Enjoying our articles? Unlock Full Access!

If Two Sides of a Triangle Are Unequal, Then the Angle Opposite to the Greater Side Is Greater Than Angle Opposite to the Smaller Side

In figure, ...

Question

In figure, $Δ A B C$ is circumscribing a circle. Then the length of AB is:

6

No worries! We‘ve got your back. Try BYJU‘S free classes today!

8

No worries! We‘ve got your back. Try BYJU‘S free classes today!

12

No worries! We‘ve got your back. Try BYJU‘S free classes today!

14

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $14$ cm
$B D = B F = 6$ cm
[Length of tangent drawn from external point are equal]
$C D = C E = 4$ cm
$∴ A E = A C - C E$
$= 12 - 4 = 8 c m$
$A F = A F + F B$
$= 8 + 6 = 14 c m$ .

Suggest Corrections

Similar questions

Q. In the given figure, AB=14 cm, radius of in circle of

Δ A B C

is 4 cm, AF = 6 cm, AE = 6 cm and BD=8 cm. Find AC and BC.

In the given figure, ABCD is a quadrilateral circumscribing a circle with centre 'O'. If ∠ B = 90^{\circ}, A D = 23 c m, A B = 29 c m and D S = 5 c m, then find the radius of the circle.

Q. Given figure shows, a right

△

circumscribing a circle. If AP = 8 cm and BQ = 4 cm, then the length of AC =

Q. In the given figure, O is the centre of two concentric circles of radii 6 cm and 10 cm. AB is a chord of outer circle which touches the inner circle. The length of AB is
(a) 8 cm
(b) 14 cm
(c) 16 cm
(d)

\sqrt{136}

In the adjoining figure, O is the centre of a circle. Chords AB and CD intersect at P. If AB = 16 cm, CP = 6 cm, PD = 8 cm and AP $>$ PB. Then, AP is–

Join BYJU'S Learning Program

In figure, ΔABC is circumscribing a circle. Then the length of AB is:

The correct option is D 14 cmBD=BF=6 cm[Length of tangent drawn from external point are equal]CD=CE=4 cm∴AE=AC−CE=12−4=8cmAF=AF+FB=8+6=14cm.

In figure, $Δ A B C$ is circumscribing a circle. Then the length of AB is:

The correct option is D $14$ cm
$B D = B F = 6$ cm
[Length of tangent drawn from external point are equal]
$C D = C E = 4$ cm
$∴ A E = A C - C E$
$= 12 - 4 = 8 c m$
$A F = A F + F B$
$= 8 + 6 = 14 c m$ .