An acute triangle is a type of triangle in which all three angles are less than 90 degrees. In other words, the angles of an acute triangle are all "small" angles. This means that none of the angles in an acute triangle are right angles (exactly 90 degrees) or obtuse angles (greater than 90 degrees).
To identify an acute triangle, you can measure each angle and check that they are all less than 90 degrees. You can also look at the triangle and determine if all its angles appear to be "small" or less than a right angle.
An acute triangle is important in geometry because it has specific properties and relationships involving its sides and angles. For example, in an acute triangle, the longest side is always opposite the largest angle, and the shortest side is always opposite the smallest angle.
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