### Scalene Triangle

#### Lesson Objective

In this lesson, we will learn about scalene triangles...

#### About This Lesson

In this lesson, we will:

- learn what are scalene triangles.
- see some examples on identifying them.

The study tips below will give you a short summary on this.

The math video below will explain in depth about this. Furthermore, it will show some examples so that you can understand this lesson better.

### Study Tips

#### Tip #1

When a triangle has three sides (edges) of different lengths, this triangle can be called a scalene triangle. See some examples below:

#### Tip #2

Since this type of triangle has three sides of different lengths, all of its internal angles will be different as well. See the picture below:

The math video below will explain more...

### Math Video

#### Lesson Video

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Scalene Triangles from MathExpression.com on Vimeo.

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#### Math Video Transcript

00:00:03.150

In this lesson, we will learn about scalene triangle (ST).

00:00:09.020

A triangle is a ST, when all the sides of the triangle, have different lengths..

00:00:16.100

Now, to demonstrate this, let's move vertex 'C' to the left.

00:00:22.230

Here, we can see that, all the 3 sides of this triangle have different lengths. Hence, this is a ST.

00:00:33.190

It is important to note that, the interior angles will also be different.

00:00:40.000

Let's continue to move point â€˜Câ€™.

00:00:43.210

Now, when these two sides have the same length, it is not a ST.

00:00:50.220

As we continue to move 'C', we will get a right triangle.

00:00:56.030

A right triangle, can also be a ST, when the length of each side is different.

00:01:04.000

However, it will not be a scalene, if two of its sides, have the same length.

00:01:12.030

Let's see some examples.

00:01:15.100

Is this a ST?

00:01:19.150

Since this triangle has 3 sides of different lengths, this is a ST.

00:01:26.180

Next example. How about this triangle?

00:01:32.140

We can see that, these angles are not the same.

00:01:37.080

This means that, these 3 sides must have different lengths.

00:01:43.040

Hence, this is a ST.

00:01:47.130

Last example. Now, these 2 sides have the same length.

00:01:55.190

Therefore, this is not a ST.

00:02:00.140

That is all for this lesson.

### Practice Questions & More

#### Multiple Choice Questions (MCQ)

Now, let's try some MCQ questions to understand this lesson better.

You can start by going through the series of questions on scalene triangles or pick your choice of question below.

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