acute triangle
An acute triangle is a type of triangle in which all three angles are acute angles
An acute triangle is a type of triangle in which all three angles are acute angles. An acute angle is an angle with a measure less than 90 degrees. In other words, in an acute triangle, all angles are less than 90 degrees.
To illustrate, consider a triangle with three angles measuring 50 degrees, 70 degrees, and 60 degrees. Since all three angles are less than 90 degrees, this triangle is classified as an acute triangle.
Properties of acute triangles:
1. All angles are less than 90 degrees.
2. The sum of the measures of all three angles is always less than 180 degrees because the sum of three acute angles is always less than 180 degrees.
3. The sides opposite to the acute angles are always longer than the side opposite to the largest angle (the largest angle is opposite to the longest side in any triangle).
Acute triangles exhibit different properties and characteristics compared to other types of triangles like obtuse triangles (one angle measures more than 90 degrees) or right triangles (one angle measures exactly 90 degrees). Understanding these distinctions is important in various areas of mathematics, such as geometry and trigonometry.
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