Answer:
x = 8[tex]\sqrt{3}[/tex]
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 + 8² = 16²
x² + 64 = 256 ( subtract 64 from both sides )
x² = 192 ( take the square root of both sides )
x = [tex]\sqrt{192}[/tex] = [tex]\sqrt{64(3)}[/tex] = 8[tex]\sqrt{3}[/tex]
