Definition of acute angle - What it is, Meaning and Concept

The first thing we are going to do before entering fully into the establishment of the meaning of the term acute angle is to know the etymological origin of the two words that shape it:-Angle, first, derives from Greek., emanates from "ankulos", which can be translated as "folded" and then passed into Latin as "angulus", where it already takes on the meaning of "angulo".-Acute, on the other hand, has its origin in Latin, exactly in the word "acutus", which is synonymous with "acute." That in turn comes from the verb "acuere", which is synonymous with "sharpen."

Two half-lines that share the same vertex as a point of origin form a angle .According to the characteristics analyzed, it is possible to differentiate between multiple types of angles.

An acute angle is an angle that measures more than 0º and less than 90º .This means that, if we only consider the whole numbers , an acute angle measures between 1º and 89º.

This definition of acute angle measurements allows us to affirm that these are angles greater than null angles (whose measure is equal to 0º) but less than the right angles (90º), the obtuse angles (more than 90º and less than 180º), the plain angles (180º) and the perigonal angles (360º).

Following the classifications of the acute angles, we can highlight that they belong to the set of the convex angles , which covers all angles with measures greater than 0º and lower at 180º, unlike the concave angles (measuring more than 180º and less than 360º).

It is possible to find acute angles in different geometric figures.In the rectangular triangles , two acute angles and a right angle appear.The obtuse-angle triangles , meanwhile, have two acute angles and an obtuse angle.In the case of the acutangle triangles , the three interior angles of the figure are acute angles.

We can also notice acute angles in objects or elements of everyday life.The most common way to cut the pizza is in triangular portions: in each portion we can find three acute angles.

In addition to all of the above, we can indicate that to be able to measure an acute angle one must resort to the use of a conveyor.This article can be of two fundamentally forms: with a semicircular shape, to be able to measure angles of a maximum of 180º , or with a circular shape.The latter is used to measure approximately any type of angle, since its maximum is at 400 º.

In the same way, we can not ignore the one that is they can perform certain mathematical and trigonometric operations with the acute angles in the triangles.If, for example, the sine can be calculated, which will be the result of the quotient between the length of the leg opposite the angle and the hypotenuse.

And that without forgetting that, in addition, you can proceed to calculate the cosine, the tangent, the secant, the harvester and the cotangent.