If the diagonal is 5 feet, then the triangle is a 345 right triangle and, by definition, the corner is square You could of course use any dimensions you like, and then use Pythagoras' theorem to see if it is a right triangle But the numbers 3,4,5 are easy to remember and no calculation is required You can use multiples of 3,4,5 too
Are 3 4 5 a pythagorean triple- 2 Fun 345 Pythagorean Triples I'm going to warehouse these problems from @ five_triangles here I really like how they both show constructions for a 345 Pythagorean Triple My plan is to keep looking for other variants on this themeAnswer (1 of 3) I am making a guess what you mean by the p and q that produce a Pythagorean triple My guess is that you are asking, what is p and q if p^2 q^2 = 3, 2 p q = 4 and p^2 q^2 = 5 These formulas come from the algebraic identity of (p^2 q^2)^2 (2 p q)^2 = (p^2 q^2)^2 W
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The triple (3, 4, 5) is called a Pythagorean triple because it satisfies the Pythagorean theorem 3 2 4 2 = 5 2 Similarly, (5, 12, 13) and (7, 24, 25) are Pythagorean triples that sometimes appear in geometry textbooks In general, a triple of natural numbers ( a, b, c) is a Pythagorean triple if a 2 b 2 = c 2Primitive Pythagorean Triples The triples for which the entries are relatively prime are known as Primitive Pythagorean Triples But all three legs in the Primitive Pythagorean triples cannot be prime As we can see in the common example (3, 4, 5), the numbers 3 and 5 are prime numbers and here 4 is an even number
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