Δabc is a right triangle where m∠b = 90°. the coordinates of a and b are (5, 0) and (2, 5), respectively. if the x-coordinate of point c is 7, what is the y-coordinate of c ? . a. 5. b. 7. c. 8. d. 10

The distance between the points A and B is calculated by,
                             d = √(x2 - x1)² + √(y2 - y1)²
                             d = √(5 -  2)² + √(0 - 5)² = 5.83 
From the Pythagorean theorem,
                          a² + b² = c²
                    5.83² + (7 - 2)² + (y - 5)² = (7 - 5)² + (y - 0)²
From the equation, the value of y is 8. Therefore, the ordinate of the point is 8 and the answer is letter C.