Respuesta :

Answer:

A

Step-by-step explanation:

8(2) = 16

17 (2) = 34

34^2 = 16^2 + x^2

1156 = 256 + x^2

1156- 256 = x^2

900 = x^2

square root of 900 = x

x = 30

15(2) = 30

Answer:

A 15a

Step-by-step explanation:

This is a right triangle so we can use the Pythagorean theorem

a^2 +b^2 = c^2  where a and b are the legs and c is the hypotenuse

Letting the unknown side be x

(8a)^2 + x^2 = (17a)^2

64a^2 + x^2= 289a^2

Subtracting 64a^2 from each side

64a^2 -64a^2 + x^2= 289a^2-64a^2

x^2 =225a^2

Taking the square root of each side

sqrt(x^2) =sqrt(225a^2)

x = 15a

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