Question

Find the coordinates of the third vertex that completes the construction of a right triangle on the coordinate plane.

Help Me Please!!!!

Answer 1

(5, −4)

Explanation:

A right triangle is a triangle in which one angle is a right angle (a 90-degree angle). (thank usatestprep)

Answer 2

(7,a) Where a ∈ R - {7}

OR

(-2,a) where a ∈ R - {-2}

Explanation:

The coordinates of the given line from the right to the left are:

(7,1) and (-2,1)

So, to make a right triangle, we need to make a right angle or by another words, we need to a make a perpendicular line to the given line (i.e: a vertical line parallel to the y-axis at one of the given points)

So, the third vertex must be on the line x=7 or x=-2

So, the coordinates of the third vertex is:

(7,a) Where a ∈ R - {7}

OR

(-2,a) where a ∈ R - {-2}