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Geometry Difficulty 3.5 AMC 10/12 Find the answer United States

Problem:

Find the area of a triangle with side lengths $14$ , $48$ , and $50$ .

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

Solution:

Note that this is a multiple of the $7$ - $24$ - $25$ right triangle. The area is therefore
$\frac{14 \times 48}{2} = 336$

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Source: MathNet, licensed CC-BY-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.