# Special Right Triangles

## Special Right Triangles

In Geometry, there are two types of triangles that are the most famous triangles and the most unique. They are called special right triangles. Both of them include of a 90 degree angle and then the two other sides vary on the triangle, whether it’s isosceles or scalene. According to that, you know what to do. Here are the special right triangles:

• “Each of these triangles is congruent, and has angles of measures 45, 45, and 90 degrees. If the legs opposite the 45 degree angles are of length x , the hypotenuse has a length of x . This ratio holds true for all 45-45-90 triangles. 45-45-90 triangles are also often called isosceles right triangles.”

• “The angles of the triangle will be 30, 60, and 90 degrees, giving the triangle its name: 30-60-90 triangle. The ratio of side lengths in such triangles is always the same: if the leg opposite the 30 degree angle is of length x , the leg opposite the 60 degree angle will be of x , and the hypotenuse across from the right angle will be 2x .”

• “Each of these triangles is congruent, and has angles of measures 45, 45, and 90 degrees. If the legs opposite the 45 degree angles are of length x , the hypotenuse has a length of x . This ratio holds true for all 45-45-90 triangles. 45-45-90 triangles are also often called isosceles right triangles.”

• “The angles of the triangle will be 30, 60, and 90 degrees, giving the triangle its name: 30-60-90 triangle. The ratio of side lengths in such triangles is always the same: if the leg opposite the 30 degree angle is of length x , the leg opposite the 60 degree angle will be of x , and the hypotenuse across from the right angle will be 2x .”

**Ophirkes**- Research Assistant
- Posts : 107

Student Rating : 2

## Re: Special Right Triangles

Nice, Ophir! Those right triangles are very special because they have the special formulas that can be applied only to them. These formulas help you determine the length of each side of a triangle.

**dashas**- Research Assistant
- Posts : 95

Student Rating : 1

## Re: Special Right Triangles

Good job Ophir!!!

Interesting topic. The 2 types of special right triangles are very important in Geometry Because they have certain rules that we need to know in order to get the correct answers of each side. This topic was a little confusing at first for me, but thanks to you i Get it a little more Thank you you explained it very weel

Interesting topic. The 2 types of special right triangles are very important in Geometry Because they have certain rules that we need to know in order to get the correct answers of each side. This topic was a little confusing at first for me, but thanks to you i Get it a little more Thank you you explained it very weel

**rosim.**- Apprentice
- Posts : 58

Student Rating : 0

## Re: Special Right Triangles

Great job, Ophir!! There is one special right triangle that is like an isosceles which has two angles that measure 40 degrees. The other right triangle is just the very normal and simple one that we see every day, basically.

**Alianny**- Research Assistant
- Posts : 116

Student Rating : 3

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