One of the largest issues in ancient mathematics was accuracy-nobody had calculators that went out ten decimal places, and accuracy generally got worse as the numbers got larger. The famous Eratosthenes experiment. Given two similar triangles, one with small measurements that can be accurately determined, and the other with large measurements, but at least one is known with accuracy, can the other two measurements be deduced? Explain and give an example.&nbsp;The similarity of triangles gives rise to trigonometry.&nbsp;How could we understand that the right triangles of trigonometry with a hypotenuse of measure 1 represent all possible right triangles? Ultimately, the similarity of triangles is the basis for proportions between sides of two triangles, and these proportions allow for the calculations of which we are speaking here. The similarity of triangles is the foundation of trigonometry.

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One of the largest issues in ancient mathematics was accuracy-nobody had calculators that went out ten decimal places, and accuracy generally got worse as the numbers got larger. The famous Eratosthenes experiment. Given two similar triangles, one with small measurements that can be accurately determined, and the other with large measurements, but at least one is known with accuracy, can the other two measurements be deduced? Explain and give an example.&amp;nbsp;The similarity of triangles gives rise to trigonometry.&amp;nbsp;How could we understand that the right triangles of trigonometry with a hypotenuse of measure 1 represent all possible right triangles? Ultimately, the similarity of triangles is the basis for proportions between sides of two triangles, and these proportions allow for the calculations of which we are speaking here. The similarity of triangles is the foundation of trigonometry.

Rihanna Lester · Accepted Answer

Calculations using recurring or non-terminating decimals provide an accuracy issue. Trigonometry enables us to describe values in ratio form that may then be utilized for new calculations that provide more precise answers by using ratios like sin, cos, or tan. We have Pythagorean theorem&amp;nbsp;c2=a2+b2.Trigonometry can therefore be used in a wide range of applications to accurately represent larger repeating and nonterminating decimals.

One of the largest issues in ancient mathematics was accuracy—nobody had calculators that went out t

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