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