The Acute Scalene Triangle

In geometry, there are many different types of triangles. Triangles can be classified by their angles, by their sides, or by a combination of both. Today, we're going to learn about the acute scalene triangle.

A scalene triangle is a triangle where all of the sides are different lengths. An acute triangle is a triangle where all of the angles are less than 90 degrees. So, an acute scalene triangle is a triangle with 3 unequal sides and 3 angles less than 90 degrees. 

Let's take a closer look at the acute scalene triangle. As we mentioned before, all of the sides in this type of triangle are different lengths. The shortest side is called the base, and the two longer sides are called the legs. The angle between the base and one of the legs is called the vertex angle. 

The vertex angle is always less than 90 degrees in an acute scalene triangle. In fact, the sum of all three angles in an acute scalene triangle is always 180 degrees. This is just like all other triangles! 

There are many different properties that we can learn about acute scalene triangles. For example, did you know that the altitude (or height) of an acute scalene triangle will always pass through the vertex angle? This means that if we wanted to draw a line from one point on the base to the opposite vertex angle, that line would have to pass through one of the other two legs! 

Conclusion 

Acute scalene triangles are just one type of triangle that we can learn about in geometry. These types of triangles are defined by their unequal side lengths and their three angles less than 90 degrees. There are many different properties that we can learn about acute scalene triangles, such as the fact that their altitudes will always pass through the vertex angle!

FAQ

What is an acute scalene triangle?

An acute scalene triangle is a triangle with 3 unequal sides and 3 angles less than 90 degrees.

What is the definition of a scalene triangle geometry?

A scalene triangle is a triangle where all of the sides are different lengths.

What is scalene triangle and example?

A scalene triangle is a triangle where all of the sides are different lengths. An example of a scalene triangle would be a triangle with sides that measure 3, 4, and 5 feet.

What are the characteristics of an acute scalene triangle?

The characteristics of an acute scalene triangle are that it has 3 unequal sides and 3 angles less than 90 degrees.