# Pythagorean Theorem

## Verifying square corners.

The Pythagorean theorem often used

- to verify if a corner is square (90 degrees)

and can be expressed as

*C ^{2} = A^{2} + B^{2} (1)*

(1) can be transformed to express the length of hypotenuse C as* *

*C = (A ^{2} + B^{2})^{1/2} (1b)*

### Example - Determine the length of the Hypotenuse - C

### With *A = 5 m* and *B = 10 m* - the length of the hypotenuse *- C* - can be calculated as

*C = ((5 m) ^{2} + (10 m)^{2})^{1/2} *

* = 11.2 m*

### Squaring a Corner

The angle is square *(90 degrees)* if

*A = 3 (m, ft)**B = 4 (m, ft)**C = 5 (m, ft)*

### Hypotenuse Calculator

Calculate square triangle hypotenuse - C - length:

*A (m, mm, cm, in, ft)*

* B (m, mm, cm, in, ft)*

### The Sine Rule

*A / sin a = B / sin b = C / sin c (2)*