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ISEE Middle Level
Mathematics Achievement

Area of Scalene Triangle Using Heron's Formula

Very Hard Geometry Triangles

Triangle XYZ is a scalene triangle, meaning that all sides are of different lengths. The lengths of the sides are defined as follows:

Side XY measures $a$ cm, side YZ measures $b$ cm, and side XZ measures $c$ cm.

Furthermore, the area of triangle XYZ can be calculated using Heron's formula, which states that the area $A$ can be found using:

$s = \f\frac{a+b+c}{2}$

and

$A = \sqrt{s(s-a)(s-b)(s-c)}$

If the sides of triangle XYZ measure 7 cm, 9 cm, and 11 cm respectively, what is the area of triangle XYZ?

Hint

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