Thread: AI or GPT-4 challenge

Can AI or GPT-4 handle this? (revised)
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Geometry problem: Semi-circle inside triangle: Triangle with known length sides a, b, c where a is the longest. Place inside the triangle a semi-circle with diameter on side a. What is radius of largest possible semi-circle in terms of side lengths? Position of diameter center along a?

Clarification: diameter is lying on a, but its length is unknown. It must be less than the length of a to get the semicircle inside the triangle.

Gorrection

Geometry problem: Triangle with known length sides a, b, c where a is the longest. Place inside the triangle a semi-circle with diameter on side a. What is radius of largest possible semi-circle in terms of side lengths?

The following was posed to GPT - no response!

Geometry problem: Semi-circle inside triangle: Triangle with known length sides a, b, c where a is the longest. Place inside the triangle a semi-circle with diameter on side a. What is radius of largest possible semi-circle in terms of side lengths? Position of diameter center along a?