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GRE
GRE Quantitative Reasoning Section

Area of Triangle Using Heron's Formula

Hard Geometry Triangles

In triangle XYZ, the lengths of the sides are as follows:

Side XY = 13 units, Side YZ = 14 units, and Side XZ = 15 units.

Determine the area of triangle XYZ.

To compute the area, you can use Heron's formula, which states that:

The area of a triangle can be computed as:

Area = √(s(s-a)(s-b)(s-c))

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case, let:

  • a = XY = 13,
  • b = YZ = 14,
  • c = XZ = 15.

Hint

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