Question

Solve for the missing side of each right triangle shown. If the solution is not an integer express it in simplest radical form.

Answer 1

EXPLANATION

Let's call x to the missing side:

Applying the Pythagorean Theorem give us the missing side as shown as follows:

$\text{hypotenuse}^2=\text{opposite}^2+\text{adjacent}^2$

Replacing terms:

$25^2=15^2+x^2$

Solving the powers:

$625=225+x^2$

Subtracting 225 to both sides:

$625-225=x^2$

Subtracting numbers:

$400=x^2$

Applying the square root to both sudes:

$\sqrt[]{400}=x$

Switching sides:

$x=\sqrt[]{400}$

Simplifying:

$x=20$

The answer is x=20