Triangle WXY, with vertices W(2,-8), X(9,-7), and Y(7,-3), is drawn inside a rectangle.What is the area, in square units, of triangle WXY?

Answer 1

To find the area of triangle WXY, we can use the formula for the area of a triangle given its vertices:

Area = 0.5 * |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|

In this case:
x1 = 2, y1 = -8
x2 = 9, y2 = -7
x3 = 7, y3 = -3

Area = 0.5 * |2(-7 - (-3)) + 9(-3 -(-8)) + 7(-8 - (-7))|
Area = 0.5 * |2(-4) + 9(5) + 7(-1)|
Area = 0.5 * |-8 + 45 - 7|
Area = 0.5 * 30
Area = 15 square units

Therefore, the area of triangle WXY is 15 square units.