If three sides of a triangle are congruent to three sides of another triangle, the[br]triangles are congruent.[br][br]Below is an example how to construct this. If you change anything in the construction, just click on the arrows on the top right to restore the construction.

[center][b][color=#ff0000]Now you try to draw a triangle congruent to the previous one[br][/color][br][color=#38761d]You need to draw a triangle with three sides: AB=5cm, AC=7cm and BC=8 cm. [br]Try to do this in the "Applet" below[br][br][/color][/b][/center][list=1][*]Use [icon]/images/ggb/toolbar/mode_segmentfixed.png[/icon] to draw segment AB and if you are requested to give the length type in 5[br][/*][*]Use [icon]/images/ggb/toolbar/mode_circlepointradius.png[/icon] click on point A and then when requested to provide the radius type in 7[br][/*][*]Use [icon]https://tube.geogebra.org/images/ggb/toolbar/mode_circlepointradius.png[/icon] click on point B and then when requested to provide the radius type in 8[br][/*][*]Use [icon]/images/ggb/toolbar/mode_intersect.png[/icon] to plot point C at the intersection of the two circles[br][/*][*]Use [icon]/images/ggb/toolbar/mode_polygon.png[/icon] and click on point A, B and C to create the triangle[/*][/list]

Read more about Pythagorean Triples by clicking here:[br][br][list][*][url=http://www.mathsisfun.com/pythagorean_triples.html]Pythagorean Triples: Basics[/url][/*][/list][list][*][url=http://www.mathsisfun.com/numbers/pythagorean-triples.html]Pythagorean Triples: Advanced[/url][/*][/list]