Question : DE is tangent to the circumcircle of $\triangle$ABC at the vertex A such that $DE \parallel BC$. If AB = 17 cm, then the length of AC is equal to:
Option 1: 16 cm
Option 2: 16.8 cm
Option 3: 17.3 cm
Option 4: 17 cm
New: SSC CHSL tier 1 answer key 2024 out | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
Correct Answer: 17 cm
Solution :
Given: DE || BC and AB = 17 cm.
From the alternate segment theorem, we get $\angle$DAB = $\angle$ACB
Also, $\angle$DAB = $\angle$ABC (Alternate angle)
So, $\angle$ACB = $\angle$ABC
⇒ AB = AC = 17 cm
Hence, the correct answer is 17 cm.
Related Questions
Know More about
Staff Selection Commission Combined High ...
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Get Updates Brochure
Your Staff Selection Commission Combined Higher Secondary Level Exam brochure has been successfully mailed to your registered email id “”.
