Question

In the figure, the TABC is drawn to circumscribe a circle of radius 4 cm, such that the segments

BD and DC are of lengths 8 cm and 6 cm respectively. Find AB and AC .​

Answer 1

Step-by-step explanation:

let a circle having center o touches. the sides AB and AC of E and the triangles at point E and F respectively.

Lt the length of The line segment AE is X

Now in ∆ABC,

CF = CD = 6 (tangents on the circle from point C).

HENCE

= AB = × + .

= AB = 7 + 8 .

= AB = 15 .

= AC = 6 + × .

= AC = 6 + 7 .

= AC = 13 .