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GRE
GRE Quantitative Reasoning Section

Triangle Area Calculation Using Coordinates

Hard Geometry Triangles

In triangle XYZ, the coordinates of vertices are given as follows:

X(1, 2), Y(5, 6), and Z(3, 8). Determine the area of triangle XYZ.

To find the area of a triangle given by coordinates, you can use the formula:

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

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

Hint

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