Question

use the pythagorean theorem to find the missing leg of the triangle below. round to two decimal places, if necessary.
show your work here
hint: to add the square root symbol (√), type
oot\

Explanation:

Step1: Write the Pythagorean theorem formula

The Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse and \(a\), \(b\) are the legs of the right - triangle. Let \(a = 8\), \(c=20\), and we want to find \(b\).

Step2: Rearrange the formula to solve for \(b\)

$$
LATEXBLOCK0
$$

Step3: Take the square root of both sides

\(b=\sqrt{336}\approx18.33\)

Answer:

\(18.33\)