acute triangle
A triangle with 3 acute angles
An acute triangle is a triangle in which all three angles are acute angles. A triangle is said to be acute if all its angles are less than 90 degrees. In other words, an acute triangle is a triangle which has all of its angles smaller than a right angle. This type of triangle is opposite to the obtuse triangle, which has one obtuse angle that is greater than 90 degrees.
Acute triangles are commonly found in geometry problems and are used in real-life situations such as construction, architecture, and engineering. The properties of acute triangles include sides and angles that are related to each other in certain ways. The sides of an acute triangle are all of different lengths, and the longest side lies opposite to the largest angle. The sum of the measures of the three angles in an acute triangle is always less than 180 degrees.
Acute triangles are considered to be the most commonly occurring type of triangle because they are easier to work with than obtuse or right triangles. They have many applications in fields such as trigonometry and calculus, where the angles and sides of a triangle are used to derive different formulas and equations.
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