Is the triangle with the vertices A(5,2), B(0,6), and C(-5, - 7) a right triangle? Is the triangle a right triangle?
Ο Νο
Yes

We have, from distance formula.

AB² = (5-0)² + (2-6)² = 5² + 4² = 25 + 16 = 41

BC² = (0+5)² + (6+7)² = 5² + 13² = 25 + 169 =194

AC² = (5+5)² + (2+7)² = 10² + 9² = 100+81 = 181

Here, BC² ≠ AB² + AC².

So, the triangle is not a right triangle