A triangle has vertices F(-9,-9), G(-3,-7), and H(-5,-2) What is the area of the triangle

Answer 1

To calculate the area of the triangle, we need to use the formula for the area of a triangle with coordinates of its vertices. The formula is as follows:

Area = 1/2 * | (x1(y2-y3) + x2(y3-y1) + x3(y1-y2)) |

Let's substitute the coordinates of the vertices into the formula.

x1 = -9
y1 = -9
x2 = -3
y2 = -7
x3 = -5
y3 = -2

Area = 1/2 * | (-9(-7-(-2)) + (-3(-2-(-9))) + (-5(-9-(-7)))) |
= 1/2 * | (-9(-7+2) + (-3(-2+9)) + (-5(-9+7))) |
= 1/2 * | (-9(-5) + (-3(7)) + (-5(-2))) |
= 1/2 * | (45 - 21 + 10) |
= 1/2 * | (34) |
= 1/2 * 34
= 17

Therefore, the area of the triangle is 17 square units.