Understanding Acute Angles | Definition, Examples, and Importance in Geometry and Trigonometry

acute angle

An acute angle is an angle that measures between 0 and 90 degrees

An acute angle is an angle that measures between 0 and 90 degrees. In other words, it is an angle that is less than a right angle (90 degrees). The term “acute” comes from the Latin word “acutus,” meaning “sharp.”

Acute angles are commonly encountered in everyday life. For example, the corners of a square or a triangle are acute angles. When a line is tilted or slanted in such a way that it forms a small angle with the horizontal or vertical, it is also an acute angle.

In geometry, acute angles play a significant role. They are often used in the classification and measurement of triangles. In a right triangle, one of the angles formed by the perpendicular sides is always acute. Acute angles are also crucial in trigonometry, where they are used to determine the ratios of sides in right triangles.

To measure an angle and determine if it is acute, you can use a protractor. Place the center of the protractor at the vertex (the point where the two lines forming the angle meet) and align the zero degree mark with one of the lines. Then, read the degree measurement where the second line intersects with the protractor scale. If the measurement is less than 90 degrees, the angle is acute.

It’s important to note that an acute angle is different from an obtuse angle, which measures between 90 and 180 degrees.

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