isosceles and equilateral triangle worksheet

Isosceles and Equilateral Triangle Worksheet

When we talk about triangles, one of the first things that come to mind is the classification based on the sides or angles. In geometry, there are several types of triangles that can be classified based on their sides or angles.

What are the Types of Triangles Based on Sides?

A triangle can be classified into three main categories based on its sides: equilateral triangle, isosceles triangle, and scalene triangle.

* An equilateral triangle has all three sides of equal length. This means that each angle in an equilateral triangle measures 60°.

* An isosceles triangle has two sides of equal length. The angles opposite these equal sides are also equal.

* A scalene triangle, on the other hand, has all three sides of different lengths.

What are the Types of Triangles Based on Angles?

Triangles can also be classified based on their angles into acute, right, and obtuse triangles.

* An acute triangle has all three angles measuring less than 90°.

* A right triangle, as the name suggests, has one angle that measures exactly 90° (a right angle).

* An obtuse triangle has one angle that measures greater than 90° but less than 180°.

Types of Triangles Based on Sides and Angles

In addition to the above classification, triangles can also be classified based on both their sides and angles. For example:

* An acute isosceles triangle has two equal sides and all three angles measuring less than 90°.

* An obtuse scalene triangle has three unequal sides and one angle that measures greater than 90° but less than 180°.

In this worksheet, we will focus on the classification of triangles based on their sides and angles. We will explore each type of triangle in detail and understand how to identify them.

* There are six types of triangles: acute scalene, obtuse scalene, right scalene, acute isosceles, obtuse isosceles, and equilateral.

* Triangles can be classified based on their sides (equilateral, isosceles, and scalene) or angles (acute, right, and obtuse).

* Understanding the different types of triangles is crucial in geometry and will help us solve various problems related to triangles.

Isosceles and equilateral triangle worksheet