Problema Solution

Is the triangle with the vertices A(5,2)B(0,6) and C(-8,-4) a right angle?

Answer provided by our tutors

AB = √( 5^2 + 4^2) = √( 25 + 16) = √41

AC = √( 13^2 + 6^2) = √205

BC = √( 8^2 + 10^2 ) = √164

 

AC^2 = 205

AB^2 + BC^2 = 41 + 164 = 205

then ABC is rectangle in