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Slide Height

Age 14 to 16 Short Challenge Level:

The ladder to a slide is 5 metres long, and the slide is 12 metres long. The ladder meets the slide at a right angle. This is shown in the diagram.

The distance along the ground from the bottom of the ladder to the bottom of the slide is 13 metres, as shown in the diagram. 

How high off the ground is the top of the slide, to the nearest centimetre?


This problem is adapted from the World Mathematics Championships
You can find more short problems, arranged by curriculum topic, in our short problems collection.