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## 'Squirty' printed from http://nrich.maths.org/

Using a ruler and compass only it is possible to
fit a square into any triangle so that one side of the square rests
on one side of the triangle and the other two vertices of the
square touch the other two sides of the triangle:

How is this possible?

Prove why this works.

It is easy to draw a square ABCD with BC on the
base PR of the triangle and the vertex D on the side PQ

What happens to the point A as you enlarge the
square? The interactivity may help.

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