What is the value of x in the triangle?
A) 289
B) 17
C) 15
D) 14.2

By using Pythagorean's theorem, we will see that x = 17.
On the image, we can see a right triangle, and we want to find the measure of one of the cathetus.
Remember Pythagorean's theorem, it says that the sum of the squares of the cathetus is equal to the square of the hypotenuse.
Then we can write:
x^2 + 15^2 = √514^2
x^2 + 225 = 514
x^2 = 514 - 225
x = √(514 - 225) = 17
So the correct option is B.
If you want to learn more about right triangles, you can read:
https://brainly.com/question/2217700