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The shortest path between any two points on a snooker table is the straight line between them but what if the ball must bounce off one wall, or 2 walls, or 3 walls?
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Three equilateral triangles ABC, AYX and XZB are drawn with the point X a moveable point on AB. The points P, Q and R are the centres of the three triangles. What can you say about triangle PQR?
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Re-arrange the pieces of the puzzle to form a rectangle and then to form an equilateral triangle. Calculate the angles and lengths.
Age 16 to 18 Short
Challenge Level
Our Mathmo interactive workout app for A-level fluency has had another makeover.
Release Notes:
Mathmo 0.9.3 has just been released at https://nrich.maths.org/mathmoApp.
This release gives users much more control over question generation - allowing such things as question sharing, and predictable exercise content. It features a new cleaner user interface which should work on a wider range of browsers.
v0.9.3 should work in any HTML5 capable browser. Some answers have function plots which also require an SVG browser. This excludes IE6,7,8 but allows IE9+. Some Android browsers lack SVG.
The previously released version of Mathmo 0.5.0, is still available at https://nrich.maths.org/mobl/mathmo/mathmo.html
NRICH is part of the family of activities in the Millennium Mathematics Project.