Question

use the pythagorean theorem to find the length of the hypotenuse of the triangle below.
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, \(a = 3\), \(b = 4\), and \(c\) is the hypotenuse.

Step2: Substitute the values

$$3^{2}+4^{2}=c^{2}$$
$$9 + 16=c^{2}$$
$$25=c^{2}$$

Step3: Solve for \(c\)

Take the square root of both sides: \(c=\sqrt{25}\)
\(c = 5\)

Answer:

\(5\)