Similar triangles calculator
Calculator shows relation between two similar triangles. Enter angles and lengths and see live preview of your triangles.

# Beta version#

BETA TEST VERSION OF THIS ITEM
This online calculator is currently under heavy development. It may or it may NOT work correctly.
You CAN try to use it. You CAN even get the proper results.
However, please VERIFY all results on your own, as the level of completion of this item is NOT CONFIRMED.
Feel free to send any ideas and comments !

# Some facts#

• If the sides of two triangles can be paired with the same ratio, we say that such triangles are similar. This property can be written as follows:
$\dfrac{a}{a'} = \dfrac{b}{b'} = \dfrac{c}{c'} = s$
where:
• a, b, c - sides lengths of the first triangle,
• a', b', c' - sides lengths of the second triangle,
• s - proportionality factor called the similarity scale.
• The angle values in similar triangles are identical:
$\begin{cases}\alpha = \alpha'\\ \beta = \beta'\\ \gamma = \gamma'\end{cases}$
• To determine if the given two triangles are similar, it is sufficient to show that one of the following triangles similarity criteria is met:
• SSS similarity (side-side-side) - the length ratios of the respective pairs of sides are equal,
• SAS similarity (side-angle-side) - the ratios of the length of two pairs of sides equal and the measure of the angles between these sides are equal,
• AAA similarity (angle-angle-angle) - the measures of appropriate angles are kept (the equality of two pairs of angles is enough here, because the sum of angles measures in triangle is equal to 180°).
• Operations that keep the similarity property are:
• rotation - rotation of the whole shape around selected point,
• translation - translate of the whole shape by selected vector,
• scale up/down - elongation or shortening of all sides using the same factor.

# Tags and links to this website#

Tags:
Tags to Polish version: