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GMAT
GMAT Quantitative Section

Area of Triangle Using Heron's Formula

Very Hard Problem Solving Geometry

In triangle ABC, the lengths of sides AB, AC, and BC are represented by the variables $a$, $b$, and $c$, respectively. The area of triangle ABC can also be expressed using Heron's formula, which is:

$Area = \sqrt{s(s-a)(s-b)(s-c)]$

where $s = \f\frac{a + b + c}{2}$. If the sides of triangle ABC are such that $AB = 10$, $AC = 14$, and $BC = 24$, what is the area of triangle ABC?

Hint

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