
Definition: In any right-angled triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The hypotenuse is the longest side and it is always opposite the right angle.
In the above diagram the side b is the hypotenuse, angle B is the right angle.
Example 1

To find b;

Example 2

To find c;

Example 3

In example 3, a part has to be machined. At point A, the Y axis value is known but the X axis value is not.
First a right-angled triangle is drawn with the known data in position.

Then the equation is applied;

So the X value at point A is 20 + 63.25 = 83.25
Example 4

A hole is to be machined with 2 flats, the X axis positions of the corners are known but the Y axis positions are not.
A right-angled triangle is drawn with the known data.

The equation is applied;
