Question

triangleABC has vertices A(–2, 4), B(6, 0), and C(–4, 0). Is triangleABC a right triangle?

triangleABC is a right triangle because a.

triangleABC is a right triangle because a.
triangleABC is a right triangle because a.

triangleABC is not a right triangle.

Answer 1

slope of AB = (0-4)/(6+2) =-1/2
slope of AC =(0-4)(-4+2)=2
since solpe of AB * slope of AC = -1/2 *2 =-1
hence triangle ABC is rt angled at A

Answer 2

also check BC^2= 100
and AB^2 =64+16 =80
and AC^2=16+4=20
thus BC^2=AB^2+AC^2 (Pythogarean rule)