Question

2 1. Determine the missing length in the following triangle. Round to the nearest tenth. (2 points: 1 point for correct answer, 1 point for showing your work) 20 Xe 16 Your answer

Answer 1

Here, we have a right triangle with a missing side length.

To determine the length of the missing side, apply pythagorean theorem

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

Where:

c is the longest side (hypotenuse) = 20

a = 16

Substitute values into the equation and solve for the missing side.

We have:

`\begin{gathered} 20^2=16^2+x^2 \\ \\ 400=256+x^2 \end{gathered}`

Subtract 256 from both sides:

`\begin{gathered} 400-256=256-256+x^2 \\ \\ 144=x^2 \end{gathered}`

Take the square root of both sides:

`\begin{gathered} \sqrt[]{144}=\sqrt[]{x^2} \\ \\ 12=x \\ \\ x=12 \end{gathered}`

Therefore, the missing length is 12 units

ANSWER:

x = 12