Question

Find x in each image below. Simplify any radicals.

Answer 1

To Find :

The value of x.

Solution :

We know, when two chords intersect outside the circle.

$21\times ( 21 + 45 ) = x \times ( x+5x)\\\\1386 = 6x^2\\\\x^2 = 231\\\\x = \sqrt{231}$

Hence, this is the required solution.