Question

Given a triangle with coordinates X(2, -1), Y(-5, -4), and Z (-2, 3), what type of triangle is it?choice;rightequilateralisoscelesscalene

Answer 1

Distance between X and Y

`D_(XY)=√((2+5)^2+(-1+4)^2)=√(58)`

Distance between Y and Z

`D_(YZ)=√((-2+5)^2+(3+4)^2)=√(58)`

Since

`D_(XY)=D_(YZ)`

Hence, the Triangle is Isosceles