Question

If W(-10, 4), X(-3, -1), and Y(-5, 11) classify Triangle WXY by its sides.

O Equilateral
O Scalene
O Isosceles

Answer 1

By calculating the distances between the coordinates, we find that sides YW and WX of Triangle WXY are equal, thus classifying it as an isosceles triangle.

Isosceles, is the correct answer.

Step-by-step explanation:

To classify Triangle WXY by its sides, we need to calculate the lengths of the sides using the coordinates of the points W(-10, 4), X(-3, -1), and Y(-5, 11). We calculate the distances between each pair of points using the distance formula:

Distance between two points (x1, y1) and (x2, y2) is √((x2-x1)2 + (y2-y1)2).

1. Distance WX = √((-3 - (-10))2 + (-1 - 4)2) = √(49 + 25) = √74.
2. Distance XY = √((-5 - (-3))2 + (11 - (-1))2) = √(4 + 144) = √148.
3. Distance YW = √((-5 - (-10))2 + (11 - 4)2) = √(25 + 49) = √74.

We see that YW and WX have the same length, which means Triangle WXY is an isosceles triangle.