SOLUTION: find the distance between each pair of points. Points L(-2,3),M(3,-2), and N(6,1) form a triangle. Show whether triangle LMN is a right triangle.

Question 77689: find the distance between each pair of points.
Points L(-2,3),M(3,-2), and N(6,1) form a triangle. Show whether triangle LMN is a right triangle.
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
find the distance between each pair of points.
Points L(-2,3),M(3,-2), and N(6,1) form a triangle. Show whether triangle LMN is a right triangle.
The formula for distance is
Plotting the points will tell you that you need to find the distance of LM, MN, and LN.
For LM (x1,y1)=(-2,3) and (x2,y2)=(3,-2)

For MN (x1,y1)=(3,-2) and (x2,y2)=(6,1)

For LN (x1,y1)=(-2,3) and (x2,y2)=(6,1)

The pythagorean theorem says that the longest side squares is equal to the sum of the squares of the shortest sides.

Yes, this is a right triangle!
Happy Calculating!!!
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