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Problem 749

AMC 10/12, early questions

Geometry Difficulty 3.5 Find the answer HMMT November · United States · 2014

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.

Official 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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