What is an Acute Angle?

An acute angle is a small angle measuring less than 90°. It is like the angle formed when you bend your elbow, making a sharp but not wide opening. An acute angle can be represented as 0°< θ < 90°. Acute angles are commonly found in triangles and other geometric shapes, and they play a role in various mathematical and scientific applications. A few examples of acute angles are 23°, 45°, and 60°.

Definition of Acute Angle

An acute angle is a small angle that measures less than 90°.

Shape of Acute Angle

The acute angle looks like a small wedge or a slice of pizza. It is less than 90°, and it points in a narrow way. Imagine a corner where two walls meet, and the angle between them is sharp and small. That’s what an acute angle is like—pointed and less than a right angle.

  • The vertex is the point where the two arms of the angle meet. It’s like the tip of the slice in the pizza analogy.
  • The arms of the angle are the two lines that come out from the vertex, like the two sides of the pizza slice. They spread apart from each other but don’t go too far, staying less than a right angle (90°).

What is an Acute Angle?

Acute Angle is a type of angle based on its measure, where the measure is less than 90°. Imagine the angle formed when you bend your elbow, creating a sharp but not wide opening; this is an example of an Acute Angle. In geometry, an acute angle falls within the range of 0° to 90°. These angles play a significant role in shaping various geometric figures, particularly triangles, and find applications in diverse mathematical and scientific scenarios.

In this article, we have covered the various concepts related to acute angles—definition, properties, and real-life examples of acute angle to gain a clearer understanding of their significance.

Table of Content

  • What is an Acute Angle?
  • Properties of Acute Angle
  • Triangle Properties of Acute Angle
  • Formula of Acute Angle
  • Acute Angle in Various Shapes
  • Real Life Example of Acute Angle

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What is an Acute Angle?

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Formula of Acute Angle

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Acute Angle in Various Shapes

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Acute Angle: An acute angle is an angle whose measure is less than 90°. In an acute-angled triangle, all three angles are acute angles. An example of an acute angle is an angle measuring 60°. Obtuse Angle: An obtuse angle is an angle whose measure is greater than 90° but less than 180°. In an obtuse-angled triangle, one of the angles is an obtuse angle. An example of an obtuse angle is an angle measuring 120°. Right Angle: A right angle is an angle whose measure is exactly 90°. In a right-angled triangle, one of the angles is a right angle....

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