SOLUTION: Find 4 values for k so that (-1,2), (-10,5) and (-4,k) are the vertices of a right triangle.

Question 717966: Find 4 values for k so that (-1,2), (-10,5) and (-4,k) are the vertices of a right triangle.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Starting with Distance Formula, First take the square of distance between each point.

One variable assigning form can give like this:
D[1] (-1,2) to (-10,5),
D[2] (-1,2) to (-4,k),
D[3] (-10,5) to (-4,k),

Three equations using pythagorean theorem can be written for those distance squared expressions:
,
and
,
and

Take the expressions for each and fill into the pythagorean theorem equations, and solve for k. I did not finish the solution beyond what I wrote and posted so far.
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