Question

DE is a tangent to the circumcircle of ∆ ABC at the vertex A such that DE|| BC. If AB = 17 cm, then the length of AC is equalto

16.0 cm

16.8 cm

17.3 cm

17 cm

​

Answer 1

Answer:

17cm because when a tangent is draw from a point of triangle which is connect with the circle circumference the triangle is equilateral triangle

Answer 2

AC = 17 cm.  

Step-by-step explanation:

Given:

Here DE is a tangent to the circumcircle of ∆ ABC at the vertex A such that DE║BC. Also AB = 17 cm.

As shown in the figure,

By alternate segment theorem, we get

DAB = ACB                                            [1]

DAB = ABC        [Alternate angle]        [2]

From Eq (1) and (2), we get

ABC = ACB

AB = AC                   [By CPCT]

AC = 17 cm.                         [given AB = 17 cm ]