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Australian AMC 2020 - Intermediate Question 28

AMC AUSTRALIA · Australian AMC 2020 - Intermediate

Question 28

Eight identical right-angled triangles with side lengths 30 cm,40 cm and 50 cm are arranged as shown.
The inner four triangles are made to overlap each other, but the outer four triangles do not overlap any of the others.
What is the area, in square centimetres, of the unshaded centre square?

Question illustration