Find the measure of line segment TR

TR = 24 units

Step-by-step explanation:

Given 2 secants from an external point to a circle, then

The product of the external part and the whole of one secant is equal to the product  of the external part and whole of the other secant, that is

3x(3x + 5x) = 8(8 + 19)

3x × 8x = 8 × 27

24x² = 216 ( divide both sides by 24 )

x² = 9 ( take the square root of both sides )

x = ± = ± 3

but x > 0, thus x = 3

Thus

TR = 8x = 8 × 3 = 24

for the points! : )

the answer is c

step-by-step explanation: