Question

Right triangle ABC is on a coordinate plane. Segment AB is on the line y = 2 and is 5 units long. Point C is on the line x = −2. If the area of ΔABC is 12.5 square units, then find a possible y-coordinate of point C.
POSSIBLE ANSWER CHOICES:
a. 5
b. 6
c. 7
d. 8

Answer 1

Answer:

5

Step-by-step explanation:

The possible value of y-coordinate of the point C will be 5 or -1.

Given information:

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 x-axis.

Point C is on the line  which is parallel to y-axis. So, side BC or AC will be parallel to y-axis.

So, AB will be perpendicular to the other side containing point C (BC or AC). From this, the y-coordinate of the 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 other leg of the triangle should be,

So, the y-coordinate of the point C can be,

Therefore, the possible value of y-coordinate of the point C will be 5 or -1.

For more details, refer to the link:

brainly.com/question/17727748