The Spiral of Theodorus
Geometry
Level
2
The spiral of Theodorus (also called Pythagorean spiral) is composed of contiguous right triangles.
Which triangle has an area of 10?
600th
200th
500th
300th
400th
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1 solution
i'th triangle has the area (√i)/2. Hence the (20^2)th, or 400th triangle will have an area of 10 square units.