(Q28).Check whether (5,-2) (6,4) and (7,-2) are the vertices of an isosceles triangle.

Answer

Let A=(5,-2);B=(6,4) and C=(7,-2)

Distance =√((x2 - x1)2 + (y2 - y1)2)

AB=√((-)2 + (+)2)

=√

BC=√((-)2 + (--)2)

=√

AC=√((-)2 + (-+)2)

=√

Now we have, AB=BC

∴ triangle ABC is an isosceles triangle,

∴ given points are the vertices of an isosceles triangle.