Mastering The Properties And Examples Of Acute Triangles

Acute triangle

A triangle with 3 acute angles

An acute triangle is a type of triangle in which all three angles are acute angles, i.e. they are less than 90 degrees. In other words, an acute triangle is a triangle in which all sides are less than half the length of the diameter of the circumcircle.

Some important properties of an acute triangle are:

– Since all three angles are acute, there is no obtuse angle or right angle in the triangle.
– The sum of all three angles in an acute triangle is always less than 180 degrees.
– The altitude (i.e. perpendicular height) drawn from any vertex of the triangle will lie within the triangle itself.
– An acute triangle is always a scalene triangle, i.e. all three sides are of different lengths.
– The circumcenter (i.e. center of the circumcircle) of an acute triangle lies inside the triangle.

Examples of acute triangles include an equilateral triangle, an isosceles triangle with acute base angles, and a scalene triangle with all angles acute.

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