Answer:
Option: C. (6,7)
Explanation:
Acute Triangle
An acute triangle is a type of triangle with three angles that measure less than 90°. If one of the angles is 90°, then it's a right triangle.
In the given figure, we must find what point makes an acute triangle with the red colored segment. Let's analyze the options
The point (7,7) has the same x-coordinate as the right vertex, thus it will form a reight triangle, not an acute triangle
The point (8,5) would form an angle of more than 90°. It's not the correct option. The same situation applies to the point (2,4)
The only valid option is the point (6,7) because the x-coordinate is inside of the x-coordinates of the given segment.
Option: C. (6,7)