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

Solution

Distance between X and Y

$D_{XY}=\sqrt{(2+5)^2+(-1+4)^2}=\sqrt{58}$

Distance between Y and Z

$D_{YZ}=\sqrt{(-2+5)^2+(3+4)^2}=\sqrt{58}$

Since

$D_{XY}=D_{YZ}$

Hence, the Triangle is Isosceles