 # Acute Angle

Acute angles are those that are smaller than 90 degrees. When the time is 11 o’clock, for example, the angle produced between the hour hand and the minute hand is sharp. In other words, acute angles are 30°, 40°, 57°, and so on.

## What is an Acute Angle?

An angle is formed when two rays meet at a vertex. When this angle measures less than 90°, it is termed an acute angle. Also, when a right angle is divided into two it forms two acute angles.

### Acute Angle Definition

An acute angle is one that is less than 90 degrees, i.e. one that is between 0 and 90 degrees. 60 degrees, 30 degrees, 45 degrees, and so on are some instances. An acute triangle is one in which all of the inner angles are smaller than 90 degrees. Because the internal angles measure 60 degrees, an equilateral triangle is an acute triangle.

## Acute Angle Degree

An acute angle is defined as one that is less than 90 degrees, or less than a straight angle, as stated in the preceding section. Acute angle degrees include 63°, 31°, 44°, 68°, 83°, and 85°. As a result, the acute angle degree spans from 0 to less than 90 degrees.

Real-Life Examples of Acute Angles

We know that angles measuring greater than 0° and less than 90° are called acute angles in geometry. Therefore, 45°, 5°, 28°, 49°, 89° are all examples of acute angles.

Here are some real-life examples of acute angles.

• A slice of watermelon cut into small pieces
• Some examples of the angles made between the hour and minute hands of a clock.
• When a bird’s beak is fully open.
• When a crocodile’s mouth is open, the angle is established.

## Acute Angle Triangle Properties

All of the angles of an acute triangle are less than 90 degrees. A specific triangle called an equilateral triangle is formed when all three angles of a triangle are 60 degrees. Acute scalene triangles, acute isosceles triangles, and equilateral triangles are the three types of acute triangles. The acute triangle is one of several different forms of triangles. All of the inner angles in the triangle below are less than 90 degrees. As a result, it’s known as an acute triangle.

## Acute Angle Formula

We have an acute angle triangle formula, which is also known as the triangle inequality theorem for acute angle triangles, just as the Pythagoras theorem for right triangles. The total of the squares of the two sides of a triangle is bigger than the square of the biggest side, according to this rule. If the sides of ABC measure a,b,c, with ‘c’ being the biggest, then a2 + b2 > c2. To put it another way, an acute triangle is one in which a2 + b2 > c2.

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