Chapter 15, Problem 5CR

To determine

To Find: Length of the required segment in the given figure.

Answer to Problem 5CR

  $21$

Explanation of Solution

Given:

  

  $\begin{array}{l}\text{Length of tangent}=JM=10\&\\ JP=4\end{array}$

Formula Used:

  $\text{Pythagoras Theorem}:h^2=b^2+p^2$

Calculation:

  $\begin{array}{l}\text{Length of tangent}=JM=10\&\\ JP=4\\ \text{⇒}J{M}^2=JP\left(JP+PQ\right)\\ \text{⇒}{10}^2=4\left(4+PQ\right)\\ \text{⇒}4PQ=100-16\\ \text{⇒}PQ=\frac{84}{4}=21\end{array}$

Conclusion:

Thus the required length of segment is $21$ .