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# Properties of Triangles

Given a triangle with side lengths of 5, 12, and 14, is the largest angle in the triangle acute, right, or obtuse? Geometric knowledge helps us deduce much about triangles from limited information.

What is the area of the right triangle above with side lengths \(5, 12, \) and \(13\)?

Hint: Find two different ways to represent the area (one using the legs and one using the hypotenuse) and set them equal.

What is the area of a triangle with side lengths 18, 24, and 30?

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