Q125
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
AnswerAnswer: Option D
Solution
Answer: Option D
Solution:
According to questionGiven:
DE || BC, AB = 17 cm, AC = ?
∠DAB = ∠ACB
(By alternate segment theorem)
∠DAB = ∠ABC
(Alternate angle)
∴ ∠ABC = ∠ACB
AB = AC = 17 cm