Engineering ToolBox - Resources, Tools and Basic Information for Engineering and Design of Technical Applications!

This is an AMP page - Open full page! for all features.

• the most efficient way to navigate the Engineering ToolBox!

# Pythagorean Theorem

The Pythagorean theorem often used

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

and can be expressed as

C2 = A2 + B2                         (1)

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

C = (A2 + B2)1/2                                     (1b)

### 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:

### The Sine Rule

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

## Related Topics

### • Mathematics

Mathematical rules and laws - numbers, areas, volumes, exponents, trigonometric functions and more.

## Related Documents

### Angle Calculator - Carpenter's Square

Calculate angles with a straight board across carpenter's square.

### Cartesian Coordinate System - Distance and Intermediate Position Between Two Points

Distance and intermediate position between two point in a cartesian x and y coordinate system.

### Center of Gravity

A body and the center of gravity.

### Centroids of Plane Areas

The controid of square, rectangle, circle, semi-circle and right-angled triangle.

### Equal Areas - Circles vs. Squares

Radius and side lengths of equal areas, circles and squares.

### Geometric Shapes - Areas

Areas, diagonals and more - of geometric figures like rectangles, triangles, trapezoids ..

### Hyperbolic Functions

Exponential functions related to the hyperbola.

### Law of Cosines

One side of a triangle when the opposite angle and two sides are known.

### Law of Sines

Calculate the angles in a generic triangle.

### Law of Tangents

Triangles and law of tangents.

### Miter Saw - Calculate Sawing Angle

Calculate miter saw protractor angles for skirting and decorative mouldings work.

### Numbers - Squares, Cubes and Roots

Numbers - squares, cubes, square roots and cube roots.

### Oblique Triangle

Calculate oblique triangles.

### Polar vs. Cartesian Coordinates

Convert between Cartesian and Polar coordinates.

### Regular Polygons

Areas of regular polygons - polygons with 3 to 12 sides.

### Right Angled Triangle

Right angled triangle equations.

### Triangle

Triangle analytical geometry.

### Trigonometric Functions

Sine, cosine and tangent - the natural trigonometric functions.

Online vector calculator - add vectors with different magnitude and direction - like forces, velocities and more.

## Search Engineering ToolBox

• the most efficient way to navigate the Engineering ToolBox!

## SketchUp Extension - Online 3D modeling!

Add standard and customized parametric components - like flange beams, lumbers, piping, stairs and more - to your Sketchup model with the Engineering ToolBox - SketchUp Extension - enabled for use with the amazing, fun and free SketchUp Make and SketchUp Pro . Add the Engineering ToolBox extension to your SketchUp from the Sketchup Extension Warehouse!

## Privacy

We don't collect information from our users. Only emails and answers are saved in our archive. Cookies are only used in the browser to improve user experience.

Some of our calculators and applications let you save application data to your local computer. These applications will - due to browser restrictions - send data between your browser and our server. We don't save this data.