Question

3^2 + x^2=15^2 Round answer to nearest tenth

Answer 1

To solve the equation \(3^2 + x^2 = 15^2\), we'll first calculate the values of \(3^2\) and \(15^2\).

\[
3^2 = 9
\]

\[
15^2 = 225
\]

Now, substituting these values into the equation gives us:

\[
9 + x^2 = 225
\]

Next, we will isolate \(x^2\) by subtracting \(9\) from both sides:

\[
x^2 = 225 - 9
\]

\[
x^2 = 216
\]

Now, we take the square root of both sides to solve for \(x\):

\[
x = \sqrt{216}
\]

Calculating \(\sqrt{216}\):

\[
\sqrt{216} \approx 14.7\text{ (rounded to the nearest tenth)}
\]

So, the value of \(x\) rounded to the nearest tenth is:

\[
\boxed{14.7}
\]