Please help in answering the questions - Maths - Circles

Question

Please help in answering the questions

Neha Sethi · Accepted Answer

Dear
student

Assuming the tangents are drawn from Point P  to circle  at points A and BWe know that tangents drawn from an external point to circle are equal in length⇒PA=PB⇒∠PAB=∠PBA   angles opposite to equal sides are equal in length Given: ∠APB=60°Consider △APB, by angle sum property of △∠PAB+∠PBA+∠APB=180°⇒∠PAB+∠PAB+60°=180°⇒2∠PAB=120°⇒∠PAB=60°Hence △APB is equilateral △ as each  angle is e 60° each ⇒All sides are equal in length
⇒AP=PB=AB⇒AB=5 cm given AP=5 cm
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