An acute angle is a type of angle that measures less than 90°. For example, when the time is 11 o'clock, the angle formed between the hour hand and the minute hand is an acute angle. In other words, 30°, 40°, 57°, and so on are all acute angles. Show
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. In the figure shown below, the angle formed between 'Ray 1' and 'Ray 2' is an acute angle. Also, when a right angle is divided into two it forms two acute angles.  Acute Angle DefinitionAn acute angle is defined as an angle that measures less than 90 degrees i.e. measure between 0° to 90°. Some of the examples are 60°, 30°, 45 degrees, etc. A triangle formed by all the interior angles measuring less than 90° is called an acute triangle. For example, an equilateral triangle is an acute triangle since the interior angles measure 60°. Acute Angle DegreeIn the above section, we read that an angle that measures less than 90 degrees, i.e. less than a right angle is an acute angle. The examples of acute angle degrees are 63°, 31°, 44°, 68°, 83°, 85°. Hence, the acute angle degree lies within the ranges from 0° to less than 90°. Here are a few diagrammatic representations of acute angles. Real-Life Examples of Acute AnglesWe 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.
Acute Angle Triangle PropertiesAn acute triangle has all its angles less than 90°. When all three angles of a triangle are 60°, it forms a special triangle called an equilateral triangle. Acute triangles can be classified as acute scalene triangles, acute isosceles triangles, and equilateral triangles. There are many types of triangles and the acute triangle is one of them. The triangle shown below has all of its interior angles less than 90°. Therefore, it is called an acute triangle. Acute Angle FormulaJust like the Pythagoras theorem for right triangles, we have an acute angle triangle formula which is often known as the triangle inequality theorem for acute angle triangles. It states that the sum of the squares of the two sides of a triangle is greater than the square of the largest side. In Δ ABC, if the sides measure a,b,c such that 'c' is the largest side, then, a2 + b2 > c2. In other words, in a triangle, if a2 + b2 > c2, the triangle is an acute triangle. ☛Topics Related to Acute Angle Check out some interesting topics related to an acute angle.
FAQs on Acute AngleWhat is an Acute Angle?An acute angle is an angle that measures less than 90°. It can be measured using a protractor. For example, 35°, 60°, 72°, and so on are all acute angles. What are Some Examples of Acute Angles?Acute angles are angles that measure less than 90°. Therefore, 10°, 30°, 45°, 70° are some examples of acute angles. How do you Find the Measure of an Acute Angle?Acute angles can be measured with the help of a protractor. To measure an acute angle, place the bottom line of the protractor on the baseline and place the center of the protractor on the vertex where the two angles lines meet. Now, consider the bottom scale of the protractor and measure the angle. What is an Acute Angle Triangle?An acute angle triangle is one in which all the internal angles of a triangle are less than 90°. For example, an equilateral triangle has all of its internal angles equal to 60°. So, it can be referred to as an acute angle triangle. What are the Properties of an Acute Angle Triangle?There are few important properties that make the acute triangle different from other types of triangles.
What are the Characteristics of an Acute Angle?the main characteristic of an acute angle is that its measurement lies within 0° to 90°. In the case of the acute angle triangle, the measure of all the three interior angles of the acute angle triangle lie within 0° to 90° but the sum of all the interior angles is always 180 degrees. What is the Least Number of Acute Angles a Right Triangle Has?A right triangle must have at least two acute angles in it. One angle should measure 90 degrees and the other two always lie between 0° to 90°. What Does an Acute Angle Look Like?The measure of an acute angle lies between 0° and 90°. A pair of open scissors look like an acute angle. The hands of the clock form an acute angle at 11' o clock. Write Down the Few Acute Angle Degrees?When an angle measure ranges from 0° to 90° and is lesser than 90° it is an acute angle. Few acute angle degrees are 45°, 65°, 75°, 85°, 89°. Is a Right Angle Triangle an Acute Angle Triangle?No, a right angle triangle is not an acute angle triangle. A right triangle has one of its interior angles to be 90° and the other two angles as 45° each. For a triangle to be an acute angle triangle, all the internal angles need to be less than 90°. So we can say that a right-angled triangle is not an acute triangle. What is the Difference Between Obtuse and Acute Angles?Obtuse angles measure more than 90° (but less than 180°), and acute angles measure less than 90°. For example, 110° is an obtuse angle and 50° is an acute angle. What is an example of inductive and deductive reasoning?Inductive Reasoning: Most of our snowstorms come from the north. It's starting to snow. This snowstorm must be coming from the north. Deductive Reasoning: All of our snowstorms come from the north.
Is 90 degrees an acute angle?Types of angles:
Angles between 0 and 90 degrees (0°< θ <90°) are called acute angles. Angles between 90 and 180 degrees (90°< θ <180°) are known as obtuse angles. Angles that are 90 degrees (θ = 90°) are right angles. Angles that are 180 degrees (θ = 180°) are known as straight angles.
What is the acute angle?Acute angles measure less than 90 degrees. Right angles measure 90 degrees. Obtuse angles measure more than 90 degrees. Learn about angles types and see examples of each.
What is acute angle example?An angle which is measuring less than 90 degrees is called an acute angle. This angle is smaller than the right angle (which is equal to 90 degrees). For example, ∠30o, ∠45o, ∠60o, ∠75o, ∠33o, ∠55o, ∠85o, etc. are all acute angles.
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Acute angles are less than 90 degrees. this angle is 40 degrees, so it must be an acute angle.
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