Question

Can you help me understand how to find the missing side?

Answer 1

Given the Right Triangle shown in the picture, you can find the missing side length "x" by applying the Pythagorean Theorem. This states that:

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

Where "c" is the hypotenuse (the longest side), and "a" and "b" are the legs of the Right Triangle.

In this case, you can set up that:

`\begin{gathered} c=10 \\ a=6 \\ b=x \end{gathered}`

Then, substituting values into the formula and solving for "x", you get:

`\begin{gathered} 10^2=6^2+x^2 \\ 100=36+x^2 \\ 100-36=x^2 \end{gathered}`
`\begin{gathered} 64=x^2 \\ \sqrt[]{64}=x \\ x=8 \end{gathered}`

Hence, the answer is:

`x=8`