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Do you know this diagram?

diagram with similar right-angled triangles

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 .