Solve for y using geometric mean. Round your answer to the nearesttenth if necessary.

We have the following:
We can calculate the value of y, by means of the Pythagorean theorem since we have a right angle.
[tex]\begin{gathered} c^2=a^2+b^2 \\ c=30 \\ a=24 \\ b=y \end{gathered}[/tex]replacing:
[tex]\begin{gathered} 30^2=24^2+b^2 \\ b^2=30^2-24^2 \\ b=\sqrt[]{324} \\ b=18 \\ y=18 \end{gathered}[/tex]The value of y is 18 units