[Maths Class Notes] on Acute Angles Pdf for Exam

A triangle in which all the three angles measure less than 90 ° is named an acute triangle. For example, in an equilateral triangle, all the three angles measure 60°, so it makes an acute angle. The properties of an acute angle triangle are listed below.

• The interior angles of an acute angle triangle are always less than 90° with non-identical sides and measures.

• In an acute triangle, the line constructed from the base of a triangle to the opposite vertex can be perpendicular to the base.

• The perimeter of an acute triangle is the sum of the length of all three sides of a triangle.

Students can learn about different angles and triangles, acute angle triangles with solved examples and images on . Below, a picture of an equilateral triangle is provided.

 

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Acute Angle in Real Life

We can find acute angle examples in day-to-day life as well. Let us describe an elementary example. An example of an acute angle is there in a wall clock. The hands of a clock make acute angles at several hours a day. For example, if we consider 2 o’clock, the hour hand and minute hand form an acute angle at 2 o’clock. Similarly, if we slice a pizza into 5 or more slices, each slice of pizza makes an acute angle. The road signs, especially, “One way” and “No left turn” arrows also show an acute angle.

 

Acute and Obtuse Triangle

A triangle with all three angles less than 90° is named as an acute triangle. If you want to identify a triangle with obtuse angle, you must know about an obtuse angle. Obtuse triangles are described to have one obtuse angle, which is greater than 90°, and two acute angles. Refer to the below image to know about the structure of the obtuse angle triangle.

 

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Acute Angles in a Right Triangle

A triangle that has a 90° angle is said to be a right triangle. The explanations of the acute angles of a right triangle are the angles that are opposite to the two shortest sides of the right triangle. If you want to learn how to find the acute angle between the lines, you can download the app and refer to the study material and classes provided by our teachers. An acute angle has various applications in geometry. The acute angle notes on will help you to understand and solve the sums of this topic.