Question

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

Answer 1

We have the following:

We can calculate the value of y, by means of the Pythagorean theorem since we have a right angle.

`\begin{gathered} c^2=a^2+b^2 \\ c=30 \\ a=24 \\ b=y \end{gathered}`

replacing:

`\begin{gathered} 30^2=24^2+b^2 \\ b^2=30^2-24^2 \\ b=\sqrt[]{324} \\ b=18 \\ y=18 \end{gathered}`

The value of y is 18 units