Question

I NEED HELPP!!

Answer 1

In this question we have to use the formula that relates the lengths of secant and tangent .

And according to the theorem, the square of tangent is equal to the product of length of the part of secant that is outside the circle and total length .

And according to the formula, we will get

$x^2 = 4(4+16)$

$x^2 = 4*20$

$x^2 = 80$

Taking square root to both sides

$x = \sqrt{80} = 4 \sqrt 5 = 8.9 .$

So for the given diagram, and with the given values, the value of x is 8.9