This is written as a fraction. Image caption, These three equations are true for all right-angled triangles. They are known as the three trigonometric ratios because they show how large one side ...

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The ancient Babylonians understood key concepts in geometry, including how to make precise right-angled triangles. They used this mathematical know-how to divide up farmland – more than 1000 ...

which states that "in a right-angled triangle the square of the hypotenuse is equal [to the sum of] the squares of the two other sides." Contrary to what generations of pupils have learned in high ...