Question 672315: ABC has vertices A(2, 4), B(6, 0), and C(4, 0). Is ABC a right triangle? Found 2 solutions by sachi, ewatrrr:Answer by sachi(548) (Show Source): You can put this solution on YOUR website! 1st solution
slope AB=(0-4)/(6+2)=-4/8=-1/2
slope BC=0-0/-4-6=0
slope CA=4-0/-2+4=4/2=2
for ABC to be a right triangle slope any two sides should be -1
slope AB*slope CA=-1
so ABC is a right triangle with
2nd solution
|AB|^2=(-2-6)^2+(4-0)^2=80
|BC|^2=(6+4)^2+(0)=100
|CA|^2=(-2+4)^2+(4-0)^2=20
|BC|^2=|AB|^2+|CA|^2
so ABC is a right triangle with
ans Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
Hi,
C(-4,0)
A(-2,4) m = -4/-2 = 2
B(6,0)
A(-2,4) m = -4/8 = -1/2
CA is perpendicular to BA, Yes ABC is a right triangle