Question

which of the following is the correct classification for triangle WXY given W(-7,1), X(0,-4) and Y(2,3)?

Answer 1

Answer:

Scalene triangle

Step-by-step explanation:

Coordinates of the vertices of the triangle are,

W(-7, 1), X(0, -4) and Y(2, 3)

We will use the formula to get the distance between two points.

d = $\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}$

WX = $\sqrt{(-4-1)^2+(0+7)^2}$

      = $\sqrt{74}$

WY = $\sqrt{(1-3)^2+(-7-2)^2}$

      = $\sqrt{85}$

XY = $\sqrt{(3+4)^2+(2-0)^2}$

     = $\sqrt{49+4}$

     = $\sqrt{53}$

Since, measures of all three sides of the triangle are not equal, given triangle will be a scalene triangle.