![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step1.JPG\")
The side lengths are ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=ab4327c9829aec99f9e024de7a13d2f6.png\")
.
![\"a](\"http://www.wiris.com/demo-aspx/pluginwiris3/fckeditor_wiris/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.aspx?formula=1f278bc48984fd1193181623f1775623.png\")
(Apply Pythagorean theorem)
![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=87c224d266470a1eabfd2e2f4341f481.png\")
(Substitute: )![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step2.JPG\")
![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=1e92054d5cc5773f9e8e8a885e36ff73.png\")
(Evaluate powers: ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=5a31933d0f790a9cb14cb2a1c7a96019.png\")
)
![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=b3e5974ff10579181b23db734a6bc40a.png\")
(Add: ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=727a10e6fe561b12455bbf66df0c88fd.png\")
)
The equality is true. So, it is a right traingle.
\![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
The traingle with the given side lengths is a right traingle.