Respuesta :

Answer:

17

Step-by-step explanation:

It's a right triangle so you use the Pythagorean Theorem

[tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]

a and b are the sides and c is always the hypoteneuse, which is the longest side and opposite from the right angle

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

64+225=[tex]c{2}[/tex]

289=[tex]c^{2}[/tex]  take the square root of both sides to get rid of the squared

[tex]\sqrt{289}[/tex]=c

c=17

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