points p, q and R are taken on the circumference of a circle such that PS drawn at right angle to PQ meets the circle at as an Aarti drawn at right angles to p r Meda circle at P prove that PQ is equals to St
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Proved that PQ = ST
Step-by-step explanation:
∠PRT = 90°
=> PT is Diameter
PT² = PR² + RT²
as PT is Diamater
=> ∠PST = 90°
=> PS² + ST² = PT²
∠SPQ = 90°
=> SQ is diamater
SQ² = PS² + PQ²
PT = SQ Diameter
=> PS² + ST² = PS² + PQ²
=> ST² = PQ²
=> ST = PQ
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