The converse of the theorem says that if, \({a^2} = {b^2} + {c^2}\) then you have a right-angled triangle and furthermore, the right angle is directly opposite \(a\) (the hypotenuse). We can therefore ...

The Pythagorean Theorem is an ancient theory that states that in a right triangle, if the length of the hypotenuse is c, and the lengths of the two sides that sandwich the right angle are a and b, ...

James is a published author with multiple pop-history and science books to his name. He specializes in history, space, strange science, and anything out of the ordinary.View full profile James is a ...

Two years ago, a couple of high school classmates each composed a mathematical marvel, a trigonometric proof of the Pythagorean theorem. Now, they’re unveiling 10 more. For over 2,000 years, such ...

August 15, 2017 (8/15/17) was Pythagorean Theorem Day (see I missed Pythagorean Theorem Day). I was not even aware that there was such a day until this year, but it brought to my attention some really ...

The Pythagorean Theorem troubled the devoted followers of the Greek philosopher, who built a worldview based on numbers. The formula comes in handy in construction, land surveying and navigation, ...

Akshat was working through a standard geometry exercise, the chapter that introduces the right-angled triangle and the formula a 2 + b 2 = c 2. He paused for a moment, not because the problem was ...

Use Pythagoras’ theorem to show a triangle is right-angled or to find one side of a right-angled triangle when two sides are known. Make sure you are confident at substituting into and manipulating ...