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Puzzles

Cutting corners

The diagram below shows a triangle $$ABC$$. The line $$CE$$ is perpendicular to $$AB$$ and the line $$AD$$ is perpedicular to $$BC$$.
The side $$AC$$ is 6.5cm long and the lines $$CE$$ and $$AD$$ are 5.6cm and 6.0cm respectively.
How long are the other two sides of the triangle?
If you enjoyed this puzzle, check out Sunday Afternoon Maths VLIII,
puzzles about geometry, or a random puzzle.

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