Answer:
x = 1
Step-by-step explanation:
Since the triangle is right use Pythagoras' identity to solve for x
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
The hypotenuse is the side opposite the right angle, thus
x² + 1² = ([tex]\sqrt{2}[/tex])²
x² + 1 = 2 ( subtract 1 from both sides )
x² = 1 ( take the square root of both sides )
x = [tex]\sqrt{1}[/tex] = 1
