Examveda

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

A. 16.0 cm

B. 16.8 cm

C. 17.3 cm

D. 17 cm

Answer: Option D

Solution (By Examveda Team)

According to question
Given:
Geometry mcq question image
DE || BC, AB = 17 cm, AC = ?
∠DAB = ∠ACB
(By alternate segment theorem)
∠DAB = ∠ABC
(Alternate angle)
∴ ∠ABC = ∠ACB
AB = AC = 17 cm

This Question Belongs to Arithmetic Ability >> Geometry

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