. (1)
In figure 3.73, seg PS is a tangent segment.
Line PR is a secant
If PQ = 3.6,
QR = 6.4, find Ps.
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The length of PS is 6cm.
PQ = 3.6, (Given)
QR = 6.4, (Given)
Tangent = PS (Given)
Thus,
PS² = PQ × PR ( By the tangent secant segments theorem )
PS² = PQ × (PQ + QR)
PS² = 3.6 × [3.6 + 6.4]
PS² = 3.6 × 10
PS² = 36
PS = 6
Therefore, the length of PS is 6cm.
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