In this triangle \(a^2 = b^2 + c^2\) and angle \(A\) is a right angle. Pythagoras' theorem only works for right-angled triangles, so you can use it to test whether a triangle has a right angle or not.

It’s not clear whether he or his disciples came up with his eponymous theorem. But the principle is a mainstay of math class and enables the calculation of the length of any side of a right-angled ...

This is an updated version of a story first published on Nov. 1, 2024 For centuries, students have learned that in a right ...

Back in 1971, the late physicist Stephen Hawking made an intriguing prediction: the total surface area of a black hole cannot decrease, only increase or remain stable. So if two black holes combine, ...

We investigate here the representability of integers as sums of triangular numbers, where the n-th triangular number is given by Tn = n(n+1)/2. In particular, we show ...

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...