Question

Use the Pythagorean Theorem to find the missing side length. *A. 12B. 144C. 10D. 24

Answer 1

Step-by-step explanation

We use the Pythagorean theorem formula to find the missing side length.

`\begin{gathered} a^2+b^2=c^2 \\ \text{ Where} \\ a\text{ and }b\text{ are the sides} \\ c\text{ is the hypotenuse} \end{gathered}`

Then, we have:

`\begin{gathered} a=x \\ b=16 \\ c=20 \end{gathered}`
`\begin{gathered} a^(2)+b^(2)=c^(2) \\ x^2+16^2=20^2 \\ x^2+256=400 \\ \text{ Subtract 256 from both sides} \\ x^2+256-256=400-256 \\ x^2=144 \\ $$\text{ Apply square root to both sides of the equation}$$ \\ √(x^2)=√(144) \\ x=12 \end{gathered}`Answer

The length of the missing side is 12.