Question

In the figure below, the segments IJ and IK are tangent to the circle centered at O. Given that IK=13.5 and OI=15.9, find OJ.

Answer 1

Given;

Triangle OJI is a right angle triangle where the hypotenuse is OI. Also,

`OI=IJ=13.5............\text{ Two tangents drawn from a point to a circle are equal}`

Thus, using Pythagorean Theorem;

`\begin{gathered} OJ=√(15.9^2-13.5^2) \\ \\ OJ=8.4 \end{gathered}`

ANSWER: OJ=8.4