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:

$$\boxed{{\displaystyle 14.7}}$$