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How do you construct the fourth root of 2? - Answers

In a right triangle, the altitude with the hypotenuse as base divides the hypotenuse into two sections p and q. If we denote the length of the altitude by h, we have the relation h2 = p*q (Euklids altitutude theorem). So, first draw the square root of 2 as the diagonal of a square with side length 1, then construct a right triangle with p=1 and q= sqrt(2) by using the Thales theorem and its altitude will be fourth root of 2 according to Euclids theorem.



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How do you construct the fourth root of 2? - Answers

https://math.answers.com/math-and-arithmetic/How_do_you_construct_the_fourth_root_of_2

In a right triangle, the altitude with the hypotenuse as base divides the hypotenuse into two sections p and q. If we denote the length of the altitude by h, we have the relation h2 = p*q (Euklids altitutude theorem). So, first draw the square root of 2 as the diagonal of a square with side length 1, then construct a right triangle with p=1 and q= sqrt(2) by using the Thales theorem and its altitude will be fourth root of 2 according to Euclids theorem.



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https://math.answers.com/math-and-arithmetic/How_do_you_construct_the_fourth_root_of_2

How do you construct the fourth root of 2? - Answers

In a right triangle, the altitude with the hypotenuse as base divides the hypotenuse into two sections p and q. If we denote the length of the altitude by h, we have the relation h2 = p*q (Euklids altitutude theorem). So, first draw the square root of 2 as the diagonal of a square with side length 1, then construct a right triangle with p=1 and q= sqrt(2) by using the Thales theorem and its altitude will be fourth root of 2 according to Euclids theorem.

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      In a right triangle, the altitude with the hypotenuse as base divides the hypotenuse into two sections p and q. If we denote the length of the altitude by h, we have the relation h2 = p*q (Euklids altitutude theorem). So, first draw the square root of 2 as the diagonal of a square with side length 1, then construct a right triangle with p=1 and q= sqrt(2) by using the Thales theorem and its altitude will be fourth root of 2 according to Euclids theorem.

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