Processing math: 100%

Leg Rule Calculator

Formula

To calculate the legs $a$ and $b$ :

$a = \sqrt{m \times c}$

$b = \sqrt{n \times c}$

Where:

$a$ is the leg opposite to distance $m$
$b$ is the leg opposite to distance $n$
$c$ is the hypotenuse
$m$ and $n$ are the distances

Leg Rule Definition

The leg rule is a set of formulas used in the geometry of a triangle that relates the lengths of two of the sides of the right angle to the projected lengths below them.

Example Calculation 1

Let's assume the following values:

Hypotenuse ( $c$ ) = 10
Distance $m$ = 4
Distance $n$ = 6

Using the formulas:

$a = \sqrt{4 \times 10} = \sqrt{40} = 6.32$

$b = \sqrt{6 \times 10} = \sqrt{60} = 7.75$

The legs are $a = 6.32$ and $b = 7.75$ .

Example Calculation 2

Let's assume the following values:

Hypotenuse ( $c$ ) = 15
Distance $m$ = 9
Distance $n$ = 5

Using the formulas:

$a = \sqrt{9 \times 15} = \sqrt{135} = 11.62$

$b = \sqrt{5 \times 15} = \sqrt{75} = 8.66$

The legs are $a = 11.62$ and $b = 8.66$ .