Respuesta :

Answer:

17

Step-by-step explanation:

We can use the pythogorean theorem which is,

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

Where c = Hypotenuse

b and a = Legs of the triangle

We have to find the hypotenuse. So let's keep the value of it as x.

we can form an algebraic equation to solve for x

[tex] {15}^{2} + {8}^{2} = {x}^{2} \\ 225 + 64 = {x}^{2} \\ 289 = {x}^{2} \\ x = \sqrt{289} \\ x = 17[/tex]

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