a tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q such that PQ is equals to 12 CM length of PQ is
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Given :PT & QT are tangents
OP=OQ = 5cm
PQ =12cm
PR = RQ = 6cm
Construction : Jion PQ
Proof : In triangle OPR
OP^2 = PR^2 + RO^2
5^2 = 6^2 + RO^2
25 =36 + RO^2
RO^2 = 11
RO = ROOT 11
IN TRIANGLE (OPT)
PR^2 = OR - RT
12 = ROOT 11 - RT
RT = 12 ROOT 11
IN TRIANGLE (PRT )
PT^2 = PR^2 +RT^2
PT^2 = 6 ^2 + 12 ROOT 11
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