In the following figure, seg PS is a tangent segment, line PR is a secant. If PQ = 3.6, QR = 6.4, find PS.[Figure: a circle with an external point P; the secant through P cuts the circle at Q (nearer to P) and R (farther), and the tangent from P touc…
Q.2 (A)(1) In the following figure, seg PS is a tangent segment, line PR is a secant. If PQ = 3.6, QR = 6.4, find PS.
[Figure: a circle with an external point P; the secant through P cuts the circle at Q (nearer to P) and R (farther), and the tangent from P touches the circle at S.]
Activity :
PS2 = ____ × PR (Tangent secant segment theorem)
= PQ × [PQ + QR]
= ____ × [3.6 + 6.4]
= 3.6 × ____
∴ PS2 = 36
PS = ____