SOLUTION: Show that the points (-1,-2)(5,4)(-3,0) are vertices of a right triangle, and find its area. Sketch the triangle.

Algebra ->  Length-and-distance -> SOLUTION: Show that the points (-1,-2)(5,4)(-3,0) are vertices of a right triangle, and find its area. Sketch the triangle.      Log On


   

Question 949147: Show that the points (-1,-2)(5,4)(-3,0) are vertices of a right triangle, and find its area. Sketch the triangle.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

Find the distance between the points.
D%5B1%5D%5E2=%28-1-5%29%5E2%2B%28-2-4%29%5E2=36%2B36=72
D%5B2%5D%5E2=%285-%28-3%29%29%5E2%2B%284-0%29%5E2=64%2B16=80
D%5B3%5D%5E2=%28-3-%28-1%29%29%5E2%2B%280-%28-2%29%29%5E2=4%2B4=8
If it's a right triangle, it follows the Pythagorean theorem,
72%2B8=80
80=80
True, so it is a right triangle.
.
.