# Pythagoras calculation

For rightangled triangles the following formulas hold:

t_2

a²+b²=c² (Pythagoras theorem)

a²=c*p and b²=c*q ( Euclids cathetus theorem)

h²=p*q (Euclids height theorem)

sin alpha = a/c

The side opposing of the right angle is called hypotenuse, the other sides are called cathetus or legs.

In the example on the left the right angle is opposite of c. Therefore, c is the hypotenuse and a and b are the legs.

Further, for the parts of the hypotenuse (called p and q, p being below a and q being below b) those formulas hold:

a²=c*p and b²=c*q ( Euclids cathetus theorem)

A third formula is the height rule making the following statement about the height on c: h²=p*q.

The area of a right-angled triangle is also easily computed cause it is simply equal to (leg * other leg)/2.

For further information, just move the mouse over one of the words below and the corresponding part of the triangle gets marked.

Leg a Leg b Hypotenuse c

Hypotenuse part p Hypotenuse part q Area Height on c