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## 'Nicely Similar' printed from http://nrich.maths.org/

#### Do you know this
diagram?

A right-angled triangle has an extra line descending from the
original right angle, perpendicular to the hypotenuse.

If the hypotenuse (base) length is 100cm and if that extra line
splits the base into 36cm and 64cm parts, what were the side
lengths for the original right-angled triangle?

Sometimes we use the word "scale" to mean enlarge or scale up - for
another way to see this arrangement of right-angled triangles you
may like to look at the problem called a

Matter of Scale .