Question

Given: SI=8,IJ=12, SE=10

Find: EK.

Answer 1

The value of EK is
`6\ units`

Explanation:

we know that

Applying The Intersecting Secant Theorem

`SJ*SI=SK*SE`

we have

`SJ=SI+IJ=8+12=20\ units`

`SI=8\ units`

`SK=SE+EK=(10+EK)\ units`

`SE=10\ units`

substitute the values

`20*8=(10+EK)*10`

Simplify

`2*8=(10+EK)*1`

`16=10+EK`

`EK=16-10=6\ units`