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Tool: 45-45-90 Triangles - Math Open Reference
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An interactive applet and associated web page that demonstrate the properties of a 45-45-90 isosceles right triangle. The applet shows a right triangle that can be resized by dragging any vertex. As it is dragged, the remaining vertices change so that the triangle's angles remain 45, 45 and 90

The text on the page points out that the sides of a 45-45-90 triangle are always in the ratio of 1 : 2 : root 2

Applet can be enlarged to full screen size for use with a classroom projector. After use in the classroom, student can access it again from any web browser at home or in the library with no login required.

This resource is a component of the Math Open Reference Interactive Geometry textbook project at

Technology Type: Java Applet 
Author: John Page
Language: English 
Cost: Does not require payment for use

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Courses: Geometry Right, Special right triangle, Pythagorean theorem