Answer:
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 = ± [tex]\sqrt{9}[/tex] = ± 3
but x > 0, thus x = 3
Thus
TR = 8x = 8 × 3 = 24
