# Right-Angled Triangles

A **right-angled triangle** (also called a **right triangle**) has a right angle (90°) in it.

The little square in the corner tells us it is a right angled triangle(I also put 90°, but you don't need to!) |

The right angled triangle is one of the most useful shapes in all of mathematics!

It is used in the Pythagoras Theorem and Sine, Cosine and Tangent and more.

Try it yourself (drag the points):

geometry/images/triangle.js?mode=right

## Two Types

There are two types of right angled triangle:

Isosceles right-angled triangle

- One right angle
- Two other
**equal**angles always of**45°** - Two equal sides

Scalene right-angled triangle

- One right angle
- Two other
**unequal**angles - No equal sides

### Example: The 3,4,5 Triangle

The "3,4,5 Triangle" has a right angle in it.

(Draw one if you ever need a right angle!)

It has no equal sides so it is a **scalene** right-angled triangle

And, like all triangles, the three angles always add up to 180°.

6701, 6707, 761, 1800, 762, 1801, 3228, 3229, 8997, 8998