Question

Determine whether the triangle whose vertices are (-2, 1), (2, -2) and (5, 2) is a right angled triangle or not​

Answer 1

Answer:

TO PROVE

A(2,-2), B(-2,1) and C(5,2) are the vertices of a right angled triangle

PROOF

By distance formula

AB=√(-2-2)^2+(1+2)^2

=√16+9 =√25

=5

BC = √(-2-5)^2+(1-2)^2

=√(-7)^2+(-1)^2

=√50

AC = √(5-2)^2+(2+2)^2

=√(3)^2+(4)^2

=√25 =5

therefore AB^2+AC^2= 25+25=50= BC^2

therefore triangle ABC is a right angled triangle