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? asked in Education & ReferenceHomework Help · 8 years ago

How to find out if a triangle is right with 3 points using slope ?

So this is the question: the vertices of triangle ABC are A(1,7) B(9,3) C(3,1)

1. Prove ABC is a right triangle.

2. Which angle is the right angle?

3. Which side is the hypotenuse ?

Thanks so much :)

1 Answer

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  • Eliot K
    Lv 7
    8 years ago

    Find the slope of each line (slope = change in y divided by change in x)

    If two lines have perpendicular slopes - either undefined / zero, or m and -1/m, then you have found the two sides adjacent to the right angle.

    If none of the pairs of slopes are perpendicular (slopes m and -1/m) then you do not have a right triangle.

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