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Find the area of a triangle that has the coordinates of A(4,-5) F (-6,-5) G(1,9)

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Answer: 14 square units

Explanation:

The area of a triangle given by coordinates is given by the formula:

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

Where (x1, y1), (x2, y2) and (x3, y3) are the coordinates of the vertices of the triangle.

Applying this formula to the given coordinates:

Area = 1/2 * | 4(-5 - 9) + -6(9 - -5) + 1(-5 - -5) | = 1/2 * | -56 + 84 + 0 | = 1/2 * | 28 | = 14 square units.

User Alex Kudryashev
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