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, \(a = 6\), \(b = 8\), and \(c\) is the hypotenuse.

Step2: Substitute the values

$$6^{2}+8^{2}=c^{2}$$
$$36 + 64=c^{2}$$
$$100=c^{2}$$

Step3: Solve for \(c\)

Take the square root of both sides:
$$c=\sqrt{100}$$
$$c = 10$$

Answer:

\(10\)