Chapter 9.7, Problem 6WE

To determine

To Find: Find the value of x from the given figure.

Answer to Problem 6WE

The value of x is $3\sqrt{3}$

Explanation of Solution

Given information: We have given a figure shown below

  

As we know that when two chords intersect insides in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

Therefore, from given figure we must have

  $\begin{array}{c}x\times x=3\times \left(3+6\right)\\ x^2=3\times 9\\ x^2=27\\ x=3\sqrt{3}\end{array}$

Therefore, the value of x is $3\sqrt{3}$