The Pythagorean theorem, a cornerstone of mathematics for millennia, provides a method for determining unknown sides in right-angled triangles using the formula a² + b² = c². Its applications extend ...

Pythagoras’ theorem can also be used to find the length of another side of a triangle using the hypotenuse. The square on the hypotenuse subtracted by the square on another side is equal to the square ...

Two high school students have proved the Pythagorean theorem in a way that one early 20th-century mathematician thought was impossible: using trigonometry. Calcea Johnson and Ne’Kiya Jackson, both at ...

An understanding of how to use Pythagoras’ theorem to find missing sides in a right-angled triangle is essential for applying the theorem in different contexts. (3,1) is the coordinate that is 3 along ...

The Pythagorean Theorem—discovered by the Greek mathematician Pythagoras in the 6th century BCE—is a cornerstone of mathematics. Simply stated as a 2 + b 2 = c 2, the theorem posits that the sum of ...

We prove a necessary and sufficient condition for a given integer to be the hypotenuse of a primitive Pythagorean triangle. This characterization is based on partitions into consecutive parts. Journal ...

a 2 + b 2 = c 2. Remember that from high school math class? That's the Pythagorean theorem, which shows that in a right triangle, where the shorter legs are a and b, the sum of their squares is equal ...

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 ...