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Q.6. In the figure given below, ABC is an equilateral triangle in which P and S are the mid-points of arcs AB and AC respectively. Prove that: PQ = QR = RS.

ABC is an equilateral triangle, P and Q are mid points of arcs AB and AC. show that PQ=QR=RS.
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Since, AB=AC=BC. {Equilateral triangle} Then, Arc AB= Arc AS. { In equal circles equal chords cut off equal arcs} Since, P is the mid pts of arcs AB and AC Therefore, Arc AP = Arc AS Then also, Pq = rs = qr Hence proved
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Since, AB=AC=BC. {Equilateral triangle} Then, Arc AB= Arc AS. { In equal circles equal chords cut off equal arcs} Since, P is the mid pts of arcs AB and AC Therefore, Arc AP = Arc AS Then also, Pq = rs = qr Hence proved
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