Answer:
isosceles triangle.
Explanation:
To classify triangle WXY by its sides, we need to determine whether all three sides are equal, two sides are equal, or all three sides are different. We can do this by calculating the lengths of the sides using the distance formula:
Side WX:
sqrt[(x2 - x1)^2 + (y2 - y1)^2] = sqrt[(-1 - 4)^2 + (-3 - (-10))^2] = sqrt[5^2 + 7^2] = sqrt(74)
Side WY:
sqrt[(x2 - x1)^2 + (y2 - y1)^2] = sqrt[(11 - 4)^2 + (-5 - (-10))^2] = sqrt[7^2 + 5^2] = sqrt(74)
Side XY:
sqrt[(x2 - x1)^2 + (y2 - y1)^2] = sqrt[(11 - (-1))^2 + (-5 - (-3))^2] = sqrt[12^2 + 2^2] = sqrt(148)
Since the lengths of sides WX and WY are equal, but the length of side XY is different, we can classify triangle WXY as an isosceles triangle. Specifically, it is an isosceles triangle with sides WX and WY equal.