Question

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

Step1: Write the Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$
Here, \(a = 15\), \(b = 15\), and \(c\) is the hypotenuse.

Step2: Substitute the values

$$15^{2}+15^{2}=c^{2}$$
$$225 + 225=c^{2}$$
$$450=c^{2}$$

Step3: Solve for \(c\)

$$c=\sqrt{450}$$
$$c=\sqrt{225\times2}$$
$$c = 15\sqrt{2}\approx15\times1.414 = 21.21$$

Answer:

\(21.21\)