SOLUTION: Show that the points D(-1,-2),E(2,1) and F(-3,6) are the vertices of a right triangle.

Question 157680: Show that the points D(-1,-2),E(2,1) and F(-3,6) are the vertices of a right triangle.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let's plot the points first.

It looks like a right triangle.
If the triangle is a right triangle, then the sum of the squares of the legs (DE and EF) equals the square of the hypotenuse (DF).

Let's calculate the lengths of each side and test it.
The distance formula is

.
.

True, therefore the triangle is a right triangle.

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