Question

Which statement best describes the triangle formed by joining the points A(-3,6),B(-11,2),C(-4,-2)

Answer 1

Isosceles triangle

Explanation:

Length of side AB =
`√((x_2-x_1)^2+(y_2-y_1)^2)`

=
`√((-11+3)^2+(2-6)^2)`

=
`√(64+16)`

=
`√(80)`

= 4
`√(5)`

Length of BC =
`√((-4+11)^2+(-2-2)^2)`

=
`√(49+16)`

=
`√(65)`

Length of AC =
`√((-3+4)^2+(6+2)^2)`

=
`√(1+64)`

=
`√(65)`

Since, AC = BC, ΔABC will be an isosceles triangle.