Types of Acute-Angled Triangles

Acute-angled triangles are classified into three types depending on the side lengths of the triangles, 

  • Equilateral Acute Triangle
  • Isosceles Acute Triangle
  • Scalene Acute Triangle

Now let’s learn more about them in detail.

Equilateral Acute Triangle

An equilateral acute triangle also called an equilateral triangle is a triangle in which all the angles are acute angles and all the angles are equal also the side of the equilateral acute triangles are also equal. Each angle of an equilateral acute triangle always measures 60°.

Isosceles Acute Triangle

An isosceles acute triangle is a triangle in which all the angles are acute angles and any two angles of the triangle and the side corresponding to these angles are equal. That is in the isosceles acute triangle we have two sides and their corresponding angles equal.

Scalene Acute Triangle

A scalene acute triangle is a triangle in which all the angles are acute angles and no two angles and no two sides are equal. That is in the scalene acute triangle we have no sides and no angles equal.

Acute Angled Triangle

Acute angled triangle is a triangle in which all the angles of the triangles are acute angles. A triangle can have only one angle as either a right angle or an obtuse angle because of the angle sum property of the triangle. And hence, the triangle having all three angles as acute angles i.e. angles having a value less than 90 degrees is called an acute-angled triangle.

Based on the types of interior angles of the triangle, a triangle can be classified into three categories, Acute-Angled Triangles, Obtuse-Angled Triangles, and Right-Angled Triangles. Now let’s learn more about acute-angled triangles, their types, properties, and others in detail in this article.

Similar Reads

What is an Acute-Angled Triangle?

An acute-angled triangle is defined as a triangle whose all three interior angles are acute, i.e., their value is between 0° and 90°. Based on the type of triangle, the side lengths of an acute-angled triangle can be equal or unequal. An acute-angled triangle also follows the angle sum property of the triangle....

Types of Acute-Angled Triangles

Acute-angled triangles are classified into three types depending on the side lengths of the triangles,...

Properties of Acute-Angled Triangle

The following are some important properties of an acute-angled triangle,...

Acute-Angled Triangle Formulas

The area and perimeter are the two basic formulas of an acute-angled triangle which are discussed below....

Important Terminologies of Triangle

The various terminologies related to the acute-angled triangle are,...

Solved Examples on Acute Angled Triangle

Example 1: Which of the following angles can form an Acute-Angled Triangle?...

FAQs on Acute Angled Triangle

Q1: What are Acute Angles?...