Respuesta :

Answer:

x = 17

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

15^2 + x^2 = (sqrt(514))^2

225 + x^2 = 514

Subtract 225 from each side

225-225 + x^2 = 514-225

x^2 =289

Take the square root of each side

sqrt(x^2) = sqrt(289)

x = 17