Question

Find the missing length. Round to the nearest tenth if necessary. Find the missing side.

Answer 1

Given:

a = 4

b = 5

c = unknown

Let's find the length of c.

Here, we are given a right triangle, where c is the longest side.

The longest side of a right triangle is called the hypotenuse.

To find the hypotenuse, apply Pythagorean Theorem:

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

Input values into the equation above:

`\begin{gathered} c^2=4^2+5^2 \\ \\ c^2=16+25 \\ \\ c^2=41 \end{gathered}`

Take the square root of both sides:

`\begin{gathered} \sqrt[]{c^2}=\sqrt[]{41} \\ \\ c=6.4 \end{gathered}`

Therefore, the length of the missing side, c =