Answer:
See explanation below
Explanation:
S has x-coordinate of 6 => the distance from origin to x-coordinate is 6 units, which is one leg of the right triangle
Pythagorean theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.
c^2 = a^2 + b^2
with c = 10, a = 6
10^2 = 6^2 + b^2
b^2 = 100 - 36 = 64
b = √64 = 8
Point S can have 2 y-coordinates, one (+) and one (-) depending on the location of point S, so S can be either (6,8) or (6,-8)