Question

use the pythagorean theorem to find the missing leg of the triangle below. round to two decimal places, if necessary.
13
21
your work here
add the square root symbol (√□), type
oot\

Explanation:

Step1: Recall the Pythagorean theorem

The Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse and \(a\) and \(b\) are the legs of the right - triangle. Let \(a = 13\), \(c=21\), and we need to find \(b\).

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

$$
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$$

Step3: Find \(b\)

$$b=\sqrt{272}\approx16.49$$

Answer:

\(16.49\)