What's The Correct Name For The Triangle Below - T-Tees - Your Answers Await, Life's Questions Unraveled

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Hi, and welcome to this review of different types of triangles! Before we begin, here’s a review of the basics.

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A triangle has three straight sides that connect. The length of the sides can vary but the length of the largest side can’t be equal or greater to the sum of the other two sides. In addition, a triangle has three interior angles, and the sum of those three angles is always 180 degrees. This is true for all triangles, including the six types we’re looking at today.

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Different Types of Triangles

We’re going to break our six types of triangles into two groups of three.

Let’s start with the three types of triangles that are categorized by the measure of their largest angle. These are the acute, right, and obtuse triangles.

But how do you know which is which? Take a look at the largest angle of each triangle and note whether or not the angle is more than, less than, or equal to 90 degrees.

Acute Triangle

We can see that the largest angle in the triangle on the left is 70 degrees. 70 is less than 90, so this is an acute triangle. Just remember that acute angles are less than 90 degrees. This one is easy to remember, since “cute” things are often small, like puppies and kittens.

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Right Triangle

We can see that in the middle triangle the largest angle is exactly 90 degrees. You might remember that a 90-degree angle is a right angle, so this triangle is a right triangle.

Obtuse Triangle

Finally, in the triangle on the right, the largest angle is 117 degrees. Because this is more than 90 degrees, this is an obtuse angle, so we call this triangle an obtuse triangle.

That’s all there is to it for these three types! We just find the largest angle and the name of the triangle will correspond to the name of that angle.

Our second set of triangles is categorized by how many of the sides have the same length. Here are three triangles with the lengths of the sides included:

Equilateral Triangle

In the triangle on the left, we can see that all three sides are the same length and measure 9 centimeters. A triangle like this one where all the sides are the same is called an equilateral triangle. It’s not too tough of a name to remember since the beginning of equilateral sounds like the word equal, and the word lateral means “side.”

Isosceles Triangle

In the middle triangle, we can see that two of the sides are the same length and measure 8 cm while the third is 9 cm. When two of the sides of a triangle are the same it’s called an isosceles triangle. It’s a hard one to spell, but an easy one to recognize!

Scalene Triangle

In our last triangle, none of the sides have the same length, so this is called a scalene triangle.

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While you often see these three types of triangles identified by the lengths of their sides, they can also be categorized by their angles. It works exactly the same way:

When all the angles are the same 60 degrees, it’s an equilateral triangle. Technically, it’s called an equiangular triangle but they’re exactly the same thing because all equilateral triangles are also equiangular triangles. When two of the angles are the same it’s an isosceles triangle. And when none of the angles are the same it’s a scalene triangle.

So far, we’ve covered six types of triangles, which is technically all of the types, but we’re not done yet. If we wanted to be really specific when naming our triangles, we can combine names from each group; one from the first group and one from the second group.

For instance, the triangle above is an acute scalene triangle. Its largest angle is less than 90 degrees, so it’s acute, and none of its angles are the same, so it is scalene.

Before we go, how about you give it a try. Identify these two triangles by choosing either acute, right, or obtuse and then choosing equilateral, isosceles, or scalene.