Question

find the length of the third side. if necessary, round to the nearest tenth. (there is a right triangle with one leg labeled 3 and the hypotenuse labeled 5, and we need to find the length of the other leg.)

Explanation:

Step1: Apply Pythagorean theorem

Let the unknown side be $x$. For a right triangle, $a^2 + b^2 = c^2$, where $c=5$, $a=3$, $b=x$.
$3^2 + x^2 = 5^2$

Step2: Calculate squared terms

$9 + x^2 = 25$

Step3: Isolate $x^2$

$x^2 = 25 - 9 = 16$

Step4: Solve for $x$

$x = \sqrt{16} = 4$

Answer:

4