# Right Angled Triangle

## Right angled triangle equations.

A right triangle - or a right angled triangle - is a triangle in which one of the angles is a right angle - a *90 degree* angle.

The length of the hypotenuse of aright triangle can be calculated as

*c = (a ^{2} + b^{2})^{1/2} (1)*

The other sides can be calculated as

*a = (c ^{2} - b^{2})^{1/2} (2)*

*b = (c ^{2} - a^{2})^{1/2} (3)*

The angle *θ* can be calculated as

*θ = atan b/a *

* = arctan b/a*

* = tan ^{-1} b/a (4)*

### Example - Right Triangle

The length of the hypotenuse where *a = 1.7 m* and *b = 1 m* can be calculated as

*c = ((1.7 m) ^{2} + (1 m)^{2})^{1/2} *

* = 1.97 m*

The angle *θ* can be calculated as

*θ = atan ((1 m) / (1 m))*

* = 30.5 ^{o }*