use the pythagorean theorem to find the missing leg of the triangle below. round to two decimal places, if…

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

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

Answer

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)

[ \begin{align*} b^{2}&=c^{2}-a^{2}\ b^{2}&=20^{2}-8^{2}\ b^{2}&=400 - 64\ b^{2}&=336 \end{align*} ]

Step3: Take the square root of both sides

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

Answer:

(18.33)