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
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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.
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