Question

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

Answer 1

Answer:

The triangle WXY is an isoscels triangle with the base XY

Step-by-step explanation:

In the triangle WXY, W(-10, 4), X(-3, -1), and Y(-5, 11). Find the lengths of all sides of the triangle WXY as distances between points:

$WX=\sqrt{(-10-(-3))^2+(4-(-1))^2}=\sqrt{(-10+3)^2+(4+1)^2}=\sqrt{49+25}=\sqrt{74}\ units\\ \\XY=\sqrt{(-3-(-5))^2+(-1-11)^2}=\sqrt{(-3+5)^2+(-12)^2}=\sqrt{4+144}=\sqrt{148}\ units\\ \\WY=\sqrt{(-10-(-5))^2+(4-11)^2}=\sqrt{(-10+5)^2+(-7)^2}=\sqrt{25+49}=\sqrt{74}\ units$

There are two congruent sides WX and WY, so the triangle WXY is an isoscels triangle with the base XY