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Wedge on Wedge

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Two right-angled triangles are connected together as part of a structure.

The green triangle has side lengths of 65, 52, and 39 cm and the blue triangle has side lengths of 52, 48, and 20 cm.

two connected right-angled triangles

An object is dropped from the top of the green triangle, where does it pass the base of the blue triangle?

In what proportion is the blue base split and how far has the object fallen?

This problem does not require a calculator or any special formula.