Understanding Acute Triangles | Definition, Properties, and Examples

Acute Triangle

An acute triangle is a type of triangle where all three angles measure less than 90 degrees

An acute triangle is a type of triangle where all three angles measure less than 90 degrees. In other words, all angles of an acute triangle are acute angles.

To better understand this, let’s consider the sides and angles of a triangle. A triangle is a two-dimensional polygon with three sides and three angles.

In an acute triangle, all three angles are acute angles, which means they are smaller than a right angle (90 degrees). In other words, the measures of the angles in an acute triangle are less than 90 degrees.

For example, if we have a triangle with angle A measuring 50 degrees, angle B measuring 40 degrees, and angle C measuring 70 degrees, this triangle is an acute triangle because all three angles are acute angles.

It is important to note that in an acute triangle, the lengths of the sides can vary. As long as all three angles are acute, the triangle is classified as an acute triangle.

Acute triangles have some unique properties. Since all angles are acute, the longest side is always opposite the largest angle, and the shortest side is opposite the smallest angle. In an acute triangle, the sum of the lengths of any two sides will always be greater than the length of the third side, which is known as the Triangle Inequality Theorem.

In summary, an acute triangle is a triangle where all three angles measure less than 90 degrees. It is a fundamental concept in geometry and has distinct properties that differentiate it from other types of triangles such as right triangles or obtuse triangles.

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