Question

In the diagram below find the value of x and hence find tb​

Answer 1

x = 11 , TB = 12 cm

Explanation:

given a tangent and a secant from an external point to the circle, then

the square of the measure of the tangent is equal to the product of the measures of the secant's external part and the entire secant, that is

TC × TB = TA²

3(3 + x - 2) = 6²

3(x + 1) = 36 ( divide both sides by 3 )

x + 1 = 12 ( subtract 1 from both sides )

x = 11

then

TB = TC + CB = 3 + (11 - 2) = 3 + 9 = 12 cm