Respuesta :

Answer:

ST = 32

Step-by-step explanation:

First let's call r the radius of the circle, so:

SU = UT = r

Using the formulas of secant and tangent segments in a circle, we have that:

tangent and tangent: QR^2 = QP^2

7x - 19 = 4x + 2

3x = 21

x = 7

tangent and secant:

QP^2 = QS * QT

(4x + 2)^2 = (34 - r) * (34 + r)

900 = 1156 - r^2

r^2 = 256

r = 16

ST = SU + UT = 2*r = 16*2 = 32

Otras preguntas