In △ABC , the coordinates of vertices A and B are A(1,2), and B(−3,−1)?
2 answers:
Answer:
ABC would be right angle triangle if C(1,-1) or C(-3,2)
Step-by-step explanation:
In △ABC , the coordinates of vertices A and B are A(1,2), and B(−3,−1)
We need to find the third vertex of triangle ABC.
ABC is a right angle triangle.
A(1,2) and B(-3,-1)
Using A and B, Two possible right angle triangle.
Case 1: If we draw a vertical line at A and horizontal line at B then intersection point of vertical and horizontal would be third vertex of triangle ABC.
Vertical line at A, x=1
Horizontal line at B, y=-1
Vertex C: (1,-1)
Case 2: If we draw a horizontal line at A and vertical line at B then intersection point of vertical and horizontal would be third vertex of triangle ABC.
Vertical line at B, x=-3
Horizontal line at C, y=2
Vertex C: (-3,2)
Thus, ABC would be right angle triangle if C(1,-1) or C(-3,2)
Please see the attachment to see the process graphically.
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