Answer:
x = 8
Step-by-step explanation:
Since the triangle is right use Pythagoras' theorem to solve for x
The square on the hypotenuse of a right triangle is equal to the sum of the squares on the other 2 sides, thus
x² + 15² = 17²
x² + 225 = 289 ( subtract 225 from both sides )
x² = 64 ( take the square root of both sides )
x = [tex]\sqrt{64}[/tex] = 8
