Question

In the following figure, seg PS is a tangent segment, and line P is a secant. If PQ = 3.6, QR = 6.4, find PS.

Activity:

∴ PS² = `square` × PR (Tangent sccant segment theorem)

= PQ × [PQ + QR]

= `square` × [3.6 + 6.4]

= 3.6 × `square`

∴ PS² = 36

PS = `square`

Answer 1

∴ PS² = \[\boxed{PQ}\] × PR (Tangent sccant segment theorem)

= PQ × [PQ + QR]

= \[\boxed{3.6}\] × [3.6 + 6.4]

= 3.6 × \[\boxed{10.0}\]

∴ PS² = 36

∴ PS = \[\boxed{6}\]