Could someone take a look at this? I think the answer is 32. Am I right?
Hello, Sanee!
$\displaystyle KG \, = \, IJ \, = \,32$ and $\displaystyle LM$ is tangent to the circle.
Which is the value of $\displaystyle KM$ ?
Since $\displaystyle IJ \,=\,32$, the radius is: .$\displaystyle GL = 16$
Since $\displaystyle KG \,=\,32$, then $\displaystyle LK \,= \,16$
$\displaystyle \Delta KLM$ is a 30-60 right triangle.
. . Therefore: .$\displaystyle KM \:=\:2(LK) \:=\:2(16) \:=\:32$