The distance formula d = √ [ (x₂ - x₁)² + (y₂ - y₁)²] directly applies Pythagorean principles to coordinate differences. Complex geometric shapes often contain hidden right triangles.

NPR's Ailsa Chang talks with Regina Barber and Emily Kwong of Short Wave about the oldest known tadpole, new proofs of the Pythagorean Theorem, and the evolutionary roots of alcohol consumption.

Two Black teenage girls from New Orleans say they could be the first mathematicians in at least 2,000 years to find trigonometric proof for the Pythagorean Theorem. "After we get it peer reviewed ...