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

$$a^{2}+b^{2}=c^{2}$$
Let \(a = 14\), \(c = 28\), and \(b\) be the missing leg.

Step2: Substitute the values into the formula

$$14^{2}+b^{2}=28^{2}$$
$$196 + b^{2}=784$$

Step3: Solve for \(b^{2}\)

$$b^{2}=784 - 196$$
$$b^{2}=588$$

Step4: Find \(b\)

$$b=\sqrt{588}$$
$$b\approx24.25$$

Answer:

\(24.25\)