Question

Find the unlabeled side length. If necessary, round your answer to the nearesthundredth (two decimal places).2048Answer hneSUBMIT

Answer 1

From the given right triangle, let's find the length of the unlabelled side.

Here, the unlabelled side is the longest side of the right traingle which is called the hypotenuse.

To find the length, apply Pythagorean Theorem.

`c^2=a^2+b^2`

Where:

a = 20

b = 48

Thus, we have:

`c^2=20^2+48^2`

Solving further:

`\begin{gathered} c^2=400+2304 \\ \\ c^2=2704 \end{gathered}`

Take the square root of both sides:

`\begin{gathered} \sqrt[]{c^2}=\sqrt[]{2704} \\ \\ c=52 \end{gathered}`

Therefoe, the length of the unlabeled side is 52 units.

ANSWER:

52