Ne’Kiya Jackson and Calcea Johnson, two high school students from Louisiana, have made headlines in the math community for discovering multiple new solutions to the Pythagorean theorem. Their journey began when they found an “impossible” proof to the theorem using trigonometry while still in high school. The Pythagorean theorem, which dates back 2,000 years, states that the sum of the squares of a right triangle’s two shorter sides equals the square of the triangle’s longest side, known as the hypotenuse.
What makes Jackson and Johnson’s discovery so remarkable is that they managed to prove the theorem using trigonometry without relying on the theorem itself, thus avoiding circular reasoning. Trigonometry, a branch of mathematics that deals with the relationships between the sides, lengths, and angles of triangles, often includes expressions of the Pythagorean theorem. By using a result of trigonometry called the Law of Sines, the two students were able to provide a fresh perspective on this ancient mathematical principle.
In a recent paper published in the American Mathematical Monthly, Jackson and Johnson presented not only their original proof but also nine additional proofs to the Pythagorean theorem using trigonometry. This brings the total number of proofs they have outlined to ten, solidifying their place in mathematical history. The young mathematicians are now recognized as only the third and fourth individuals to have proven the Pythagorean theorem using trigonometry and without falling into circular reasoning, joining the ranks of professional mathematicians.
Their groundbreaking work has not only caught the attention of the math community but also serves as an inspiration for young women and women of color interested in pursuing careers in STEM fields. Jackson and Johnson’s success at such a young age is a testament to their dedication and talent, proving that anyone, regardless of background, can make significant contributions to the world of mathematics.
As they continue their academic pursuits in fields like environmental engineering and pharmacology, Jackson and Johnson hope to encourage others to explore the possibilities of mathematics and challenge traditional ways of thinking. By separating different methods of presenting trigonometry, they have unlocked a wealth of new proofs for the Pythagorean theorem, paving the way for future discoveries in the field.
The story of Ne’Kiya Jackson and Calcea Johnson serves as a reminder that innovation knows no bounds and that with determination and creativity, anyone can make a lasting impact on the world of mathematics. Their journey from high school students with an “impossible” proof to published mathematicians with multiple solutions to a timeless theorem is a testament to the power of curiosity and perseverance in the face of challenges.
