Right Triangles

Scalene right triangle with a right angle marked by a square.

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

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

The right 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 triangle:

Isosceles right-angled triangle with two equal sides and two 45-degree angles.

Isosceles right triangle

Scalene right triangle with all sides and angles unequal, except for the right angle.
 

Scalene right triangle


Example: The 3,4,5 Triangle

Right triangle with side lengths 3, 4, and 5 units.

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 triangle

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

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