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