The possible value of y-coordinate of the point C will be 5 or -1. Option A is correct.
What is a triangle?
Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
Right triangle ABC is on a coordinate plane. Segment AB is on the line y = 2 and is 6 units long. Point C is on the line x=−3.
The area of triangle ABC is 9 square units.
AB is on the line y=2 which is parallel to the x-axis. So, AB will be parallel to the x-axis.
Point C is on the line which is parallel to the y-axis. So, side BC or AC will be parallel to the y-axis.
AB will be perpendicular to the other side containing point C (BC or AC). From this, the y-coordinate of point C should be such that the length of the side or leg containing C should justify the area of the triangle.
The length of the other legs of the triangle should be,
BC or AC = 9 / 3 = 3
The y-coordinate of the point C can be,
2 ± 3 = 5 or -1
Therefore, the possible value of the y-coordinate of point C will be 5 or -1.
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