Respuesta :

Answer:

17

Step-by-step explanation:

To find the hypotenuse, you would use the Pythagorean theorem.

[tex]A^{2} +B^{2} =C^{2}[/tex]

We can plug 8 and 15 into A and B\

[tex]8^{2} +15^{2} =C^{2}[/tex]

We can simplify this to

64+225=[tex]C^{2}[/tex]

289 = [tex]C^{2}[/tex]

To get C by itself not squared, we can do the square root of both sides.

[tex]\sqrt{289} =\sqrt{C^{2} }[/tex]

If we simplify, we get

17 = C or C = 17

Therefore the length of the hypotenuse is 17.

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