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 ...
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 ...
It may be necessary to use Pythagoras' theorem and trigonometry to solve a problem. The trigonometric ratios can be used to solve 3-dimensional problems which involve ...
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