Discovering The Properties And Characteristics Of Acute Triangles In Geometry Problems

acute triangle

a triangle where all three angles are < 90 degrees

An acute triangle is a type of triangle in which all three angles are acute angles, meaning they are less than 90 degrees. In other words, an acute triangle is a triangle that has all of its angles measuring less than 90 degrees.

One way to remember this is to think of the word acute itself, which means sharp or pointed. In an acute triangle, each angle is sharp or pointed because the measure of each angle is less than 90 degrees.

Acute triangles are interesting because they have certain properties that make them different from other types of triangles. 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. This is a useful property to remember when working with acute triangles.

Another important property of acute triangles is that their altitudes always lie within the triangle itself. This means that if you draw a line perpendicular to one of the sides of an acute triangle, that line will always intersect with the other two sides of the triangle.

Acute triangles are commonly found in geometry problems, and they are important to understand if you want to solve these types of problems effectively.

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