The longest side of a right-angled triangle is the hypotenuse. The hypotenuse is always opposite the right angle. Draw a square on each side of a right-angled triangle. Calculate the area of each ...

This is an updated version of a story first published on Nov. 1, 2024 For centuries, students have learned that in a right triangle, the square of the hypotenuse equals the sum of the squares of the ...

The most important theorem we learnt in childhood carries the name of a Greek philosopher, but not necessarily the legacy.

This is an updated version of a story first published on May 5, 2024. For many high school students returning to class, it may seem like geometry and trigonometry were created by the Greeks as a form ...

Pythagoras Theorem: The Pythagoras Theorem is a fundamental principle in geometry, attributed to the ancient Greek mathematician Pythagoras. This theorem establishes a relationship between the sides ...

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 ...

Do you think there’s a triangle whose angles measure 41, 76 and 63 degrees? At first, answering this may seem easy. From geometry class we know that the sum of the measures of the interior angles of a ...

With all due respect to Pythagoras, newly uncovered evidence suggests that his famous theorem, used to calculate the lengths of each side of a right triangle, might be 1,000 years older than him. That ...

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 ...