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
Answer:
5
Step-by-step explanation:
Triangle Area formula
A = 1/2(b)(h)
We have the area of the triangle = 12.5 and the base, or height = 5
12.5 = 1/2 (5)(h) OR 12.5 = 1/2(b)(5)
(switching base/height doesnt work for everything)
12.5 = 2.5h OR 12.5 = 2.5b
12.5/2.5 = 2.5h/2.5 OR 12.5/2.5 = 2.5b/2.5
5 = h, 5 = b
5 · 5 = 25
25/2 = 12.5
This is just how I did it, you would use the distance formula, but since I didn't have coordinates, I checked my answer like this, you could always substitute coordinates that fit the description for the question.
So, the answer is 5.
Have a wonderful Day!
