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# 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 = (a2 + b2)1/2                                     (1)

The other sides can be calculated as

a = (c2 - b2)1/2                                     (2)

b = (c2 - a2)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))

= 30.5o

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## Citation

• The Engineering ToolBox (2013). Right Angled Triangle. [online] Available at: https://www.engineeringtoolbox.com/right-triangle-d_1859.html [Accessed Day Month Year].

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10.2.10