Understanding Acute Triangles | Properties, Relationships, and Calculations

Triangle ABC is acute when..

Triangle ABC is acute when all three angles of the triangle (angle A, angle B, and angle C) are less than 90 degrees

Triangle ABC is acute when all three angles of the triangle (angle A, angle B, and angle C) are less than 90 degrees. In other words, an acute triangle is a triangle that has all its angles as acute angles.

To determine if a triangle is acute, you can compare the measures of the angles to 90 degrees. If all three angles are less than 90 degrees, then the triangle is acute.

For example, if angle A = 60 degrees, angle B = 70 degrees, and angle C = 50 degrees, then all the angles are less than 90 degrees, and triangle ABC is acute.

In an acute triangle, the sides opposite to the acute angles will be the longest sides of the triangle. Additionally, the height (perpendicular distance from the base to the highest vertex) can be found within the triangle.

Acute triangles have various properties and relationships, such as the Law of Sines and the Law of Cosines, which can be used to calculate side lengths and angle measures in different situations involving acute triangles.

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