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Problems > The Maine Page > 2003

Pythagorean Triples

A little more fun with Pythagorean triples:

Exactly four right triangles with integer side lengths exist with a leg equal to 15. These are:

(15, 112, 113), (15, 20, 25), (15, 36, 39), and (8, 15, 17).

How many different right triangle with integer side lengths exist with a leg equal to 42? How do you know?

BONUS QUESTION:

42 is the product of 3 different prime numbers - 2, 3, and 7.

Resolve this problem given a leg which is the product of n different primes, given that, as in this problem, one of these primes is 2.


View the solution
Literal Equations
Theorem of Pappus

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