Understanding Acute Triangles | Definition, Properties, and Classification

acute triangle

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

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

To determine if a triangle is acute, you can measure the angles of the triangle using a protractor or use the trigonometric ratios to find the angles. If all three angles are less than 90 degrees, then the triangle is acute.

Acute triangles have some interesting properties. Since all the angles are less than 90 degrees, the triangle will be “pointed” or “sharp” in shape. Additionally, the sum of the measures of the three angles in any triangle is always 180 degrees. In an acute triangle, the sum of the angles will be less than 180 degrees, as each angle is less than 90 degrees.

Acute triangles also have sides of different lengths. In fact, acute triangles can be classified further based on their sides. An acute triangle can be scalene (all sides have different lengths), isosceles (two sides have the same length), or equilateral (all sides have the same length).

It is important to note that an acute triangle cannot have a right angle (90 degrees) or an obtuse angle (greater than 90 degrees). If any of the angles in a triangle are right or obtuse, then it is not an acute triangle.

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