Points A and B are two of the vertices of a right triangle. They are the endpoints of the hypotenuse AB¯¯¯¯¯ of the triangle. The third vertex of the triangle lies in the first quadrant. Plot a point at the location of the third vertex.

Right-angled triangle has one right angle in it. The third vertice of the right-angled triangle whose two vertices are A(-2, 2) and B(1, -2) is C(1,2).

What is a right-angled triangle?

A right-angled triangle is a triangle that has one of its angles as a right-angle, therefore, 90°.

Given to us

A = (-2, 2)

B = (1, -2)

We know that in a right-angled triangle the side opposite to the hypotenuse is the right-angeled triangle, therefore, the location of point C will be opposite to line AB as line AB is the hypotenuse of the given triangle and the point will be the point where the straight line passing through points A and B will intersect such that the angle form between them is a right angles triangle.

Given below is the point c where the straight line passing through points A and B are intersecting, therefore, at point C(1,2).

Hence, the third point of the right angles triangle is at point C(1,2).

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