The angle created between the hour hand and the minute hand at 11 o’clock is an acute angle. Do your children find it difficult to comprehend this?
Then this post might be for you to get a full explanation of what is an acute angle.
Here, let’s learn some basics of acute angles.
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What is an acute angle?
Let’s define an angle first. Before we can sit down and think about acute angles, we must first comprehend angles.
When two rays intersect at a shared terminal, they produce an angle, which is a figure in geometry. The “arms of the angle” are the two lines that intersect at the termination of the two rays. Angles, which are expressed in degrees or °, are a measure of a turn. In a complete turn, there are 360°. The vertex is an additional name for the endpoint.
Using a protractor, which is somewhat similar to a ruler, you can determine the size of an angle. It is a translucent, flat, semicircular piece of plastic with lines drawn on it. To calculate the angle’s degree, align the lines at an angle.
The Latin term angulus, which means “a slight bending,” is the source of the English word angel. Eudemus was the first to use the term “angle,” and he described it as a departure from a straight line.
Angles come in a few distinct varieties, each with a unique size and dimension. It’s crucial that kids understand the many angles.
- Acute angles: Smaller than 90˚.
- Obtuse angle: More than 90° but less than 180°
- Reflex angles: More than 180°.
- Right angles: Exactly 90˚.
- Straight angles: A straight line, 180° exactly.
- A circle and complete angles both have a measurement of one full angle, or precisely 360˚.
Acute angles, or those between 0 and 90 degrees, are those that are less than 90 degrees. Examples include 60 degrees, 30 degrees, 45 degrees, etc. An acute triangle is one that has all internal angles that are less than 90 degrees. For instance, because the internal angles of an equilateral triangle measure 60°, it is an acute triangle.
Degree of acute angle
An acute angle is one that is less than 90 degrees, or less than a right angle, as stated in the section above. Degrees with sharp angles include 63°, 31°, 44°, 68°, 83°, and 85°. As a result, the acute angle degree falls between 0° and less than 90°.
Examples of Acute Angles in Real Life
We are aware that in geometry, acute angles are those that are larger than 0° and less than 90°. Therefore, acute angles include 45°, 5°, 28°, 49°, and 89°.
Here are a few actual examples of acute angles.
- A slice of pizza is divided into smaller pieces.
- Examples of the angles that can be created between a clock’s minute and hour hands.
- The crocodile’s gaping mouth creates the angle.
Properties of Acute Angle Triangle
All of an acute triangle’s angles are less than 90°. An equilateral triangle is a unique type of triangle that is formed when all three of a triangle’s angles measure 60 °. Acute scalene triangles, acute isosceles triangles, and equilateral triangles are the three types of acute triangles. The acute triangle is one of the many different kinds of triangles.
The internal angles of the triangle below are all less than 90 degrees. As a result, it is known as an acute triangle.
The formula for an Acute Angle Triangle
We have an acute angle triangle formula, also known as the triangle inequality theorem for acute angle triangles, which is analogous to the Pythagoras theorem for right triangles. It says that the square of the greatest side is bigger than the sum of the squares of the two sides of a triangle.
If the sides of Δ ABC measure a, b, and c, with c being the greatest side, then a2+b2>c2. To put it another way, a triangle is an acute triangle if a2+b2>c2.
Read more >> What Is A Pictogram? Definition & Examples
Obtuse vs. Acute Angle
In terms of definition, measurement, and attributes, acute angles, and obtuse angles differ from one another. The following table lists some of the main distinctions between acute and obtuse angles:
| Acute angle | Obtuse angle | |||||
|---|---|---|---|---|---|---|
| An acute angle is one that is shorter than 90 degrees in length (the right angle). | An obtuse angle is a term used to describe angles that are more than 90 degrees (right angle) but less than 180 degrees. | |||||
| Always < 90° | Between 90° and 180° | |||||
| There will be more than one acute angle in a triangle. | There can only be one obtuse angle in a triangle. | |||||
| It is smaller than a right angle in size. | Its measurement is both bigger than and less than that of a right angle. |
FAQs
Is an acute angle of 0°?
Yes, an acute angle is 0 degrees. As the range of acute angles begins at 0 and ends with values that are less than 90, this is the ideal illustration of an acute angle. Zero angle is another name for the angle of 0 degrees.
Is an acute angle 45°?
Yes, 45 degrees is an acute angle as any angle less than 90 degrees falls within the definition of an acute angle.
What kind of angle is 180°?
As far as we are aware, there are five main types of angles in geometry, which are grouped according to their range of measurement. One of these angles is the straight angle, which has a 180-degree length.
How do you calculate an acute angle’s measurement?
A protractor can be used to measure acute angles. Put the protractor’s bottom line on the baseline and its center on the vertex, or point where the two angle lines meet, to measure an acute angle. Now calculate the angle using the protractor’s bottom scale.
How many acute angles can a right triangle have at the least?
There must be at least two acute angles in a right triangle. The other two angles must always be between 0° and 90°, with one angle having a measurement of 90°.
Is a right-angle triangle an acute-angle triangle?
No, a triangle with a right angle is not one with an acute angle. One of the internal angles of a right triangle is 90 degrees, while the other two are each 45 degrees. All internal angles must be smaller than 90° for a triangle to be an acute angle triangle. So, a right-angled triangle is not an acute triangle.
The Bottom Line
Angles play a significant role in every country’s educational system. They are key math concepts to master, things kids will retain and use later in life when they undoubtedly arise.
Allowing children to visualize and conceptualize angles is enjoyable, interesting, and essential to their understanding of “what is an acute angle” as well as other types of angles. It will also help them advance their abilities in related areas as well as this one. For instance, it can be beneficial in the study of science or design. If you are planning to teach your kids about this essential topic, you can make your own collections of acute angle worksheets using our worksheet maker.
