Question

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

Answer 1

The answer is C. 8

Explanation:

my teacher told me

Answer 2

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.