Acute Triangles: Properties, Examples And Formulas

acute traingle

a triangle with all angles less than 90 degrees

An acute triangle is a polygon with three sides and three angles. In an acute triangle, all angles are acute or less than 90 degrees. In other words, an acute triangle has all of its interior angles measuring less than 90 degrees.

Properties of an Acute Triangle:

1. All three interior angles of an acute triangle are less than 90 degrees.

2. The sum of the interior angles of an acute triangle is always less than 180 degrees.

3. An acute triangle is always equilateral if all three interior angles are equal.

4. An acute triangle is always isosceles if two of its interior angles are equal.

5. An acute triangle is always scalene if all three of its interior angles are different.

6. The area of an acute triangle is calculated using the formula 1/2 x base x height.

7. In an acute triangle, the longest side is always opposite the largest angle.

Examples of acute triangles are:

1. Equilateral triangle: All three angles of an equilateral triangle measure 60 degrees, making it an acute triangle.

2. Isosceles triangle: An isosceles triangle has two equal angles, which are always acute. The third angle is also acute, making it an acute triangle.

3. Scalene triangle: A scalene triangle has three different angles, all of which are acute. Therefore, it is an acute triangle.

More Answers:
Concave Polygons: Types, Examples, And Properties For Geometry And Trigonometry.
Mastering Regular Polygons: Their Angles And Perimeters
Discover The Properties Of Obtuse Triangles: Definition, Classification And Special Features

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