Chris Tisdell shows how to construct a right angled triangle with any given base AB. He uses a circle arc template anda straightedge to do so. The idea is to form a triangle with angles 60, 30 and 90 degrees.
The 60 degree angle can be constructed through the formation of an equilateral triangle. To do this, Chris forms an arc with centre at the point A so that anew point of intersection is formed. This new point forms the centre of a new arc which intersects with the previous arc. A ray is then drawn through the two new points. Another point on the ray is formed by drawing an arc and then this is connected with the point A. Essentially we have a right angled triangle with length of sides: 1(the base), 2 (the hypotenuse) and √3 (the remaining side) here. To get the triangle with base equal to AB, aline through B, parallel to the hypotenuse is constructed.
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