Question

In the following figure, seg PS is a tangent segment, line PR is a secant. If PQ = 3.6, QR = 6.4, then find PS by completing the following activity.

Activity:

∴ PS² = PQ × `square` (tangent secant segments theorem)

∴ PS² = PQ × (PQ + `square`)

∴ PS² = 3.6 × (3.6 + `square`)

∴ PS² = 3.6 × 10

∴ PS² = 36

∴ PS = `square`

Answer 1

Activity:

∴ PS² = PQ × \[\boxed{\text{PR}}\]   ...(Tangent secant segments theorem)

∴ PS² = PQ × (PQ + \[\boxed{\text{QR}}\])

∴ PS² = 3.6 × (3.6 + \[\boxed{6.4}\])

∴ PS² = 3.6 × 10

∴ PS² = 36

∴ PS = \[\boxed{6}\]