Angle AOB is 90°. Explanation: Since the lengths of the sides satisfy the relation OA2 + OB2 = x2 + x2 = 2x2, which equals AB2, the converse of Pythagoras’ theorem confirms that ΔAOB is a right-angled triangle at vertex O. Hence, the angle AOB measures 90°.

English

Angle AOB is ______.

Question

Options

60°
90°
45°
none of these

MCQ

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Solution

Angle AOB is 90°.

Explanation:

Since the lengths of the sides satisfy the relation OA² + OB² = x² + x² = 2x², which equals AB², the converse of Pythagoras’ theorem confirms that ΔAOB is a right-angled triangle at vertex O. Hence, the angle AOB measures 90°.

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Chapter 12: Pythagoras Theorem [Proof and Simple Applications with Converse] - TEST YOURSELF [Page 184]