The vertices of a triangle at a(5,-4) ,b(7,0) ,and c(1,-2). if the triangle is a right triangle, which vertex is the right angle

We can find the right angle of the triangle by finding the slope of the sides .

Any right angle makes an angle of 90 degrees and the lines are perpendicular .

For perpendicular lines product of slopes is -1.

In other words the slopes have opposite signs and are reciprocal .

Let us find the slopes of AB,BC,CA.

Slope of two points can be found by the difference in y values divided by different in x values

Slope of AB=

Slope of BC=

Slope of CA=

The slopes of AB and CA are reciprocal of each other with opposite signs or we can say their product is -1 so they are perpendicular.

Angle A is the common angle to these sides so we say angle A is the right angle

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answer: what are the answer choices?

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