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ABC is an isosceles triangle with AB = AC. Circles are drawn with AB and AC as diameters. The two circles intersect each other at vertex A and a point P which lies in side BC, ∠APB is :

  1. 60°

  2. 75°

  3. 90°

  4. 120°

Constructions

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Answer

Given, circles are drawn with AB as diameter.

ABC is an isosceles triangle with AB = AC. Circles are drawn with AB and AC as diameters. The two circles intersect each other at vertex A and a point P which lies in side BC, ∠APB is : Constructions, Concise Mathematics Solutions ICSE Class 10.

We know that,

Angle in a semicircle is a right angle.

∴ ∠APB = 90°.

Hence, Option 3 is the correct option.

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