New posts in pythagorean-triples

Solutions to a system of three equations with Pythagorean triples

number-theory elementary-number-theory sums-of-squares pythagorean-triples

Solve $ \binom{a}{2} + \binom{b}{2} = \binom{c}{2} $ with $a,b,c \in \mathbb{Z}$

number-theory diophantine-equations quadratic-forms pythagorean-triples

Quadruple of Pythagorean triples with same area

number-theory pythagorean-triples

If $\gcd(x,y)=1$, and $x^2 + y^2$ is a perfect sixth power, then $xy$ is a multiple of $11$

prime-numbers square-numbers pythagorean-triples

Pythagorean theorem expressed without roots in an old Tamilian (Indian) statement

triangles approximation math-history pythagorean-triples

Why can no prime number appear as the length of a hypotenuse in more than one Pythagorean triangle?

number-theory prime-numbers pythagorean-triples

How can you find a Pythagorean triple with $a^2+b^2=c^2$ and $a/b$ close to $5/7$?

pythagorean-triples

How to calculate the side of a right triangle from the coordinates of points and the length of one side?

geometry triangles pythagorean-triples

Matrix version of Pythagoras theorem

linear-algebra matrices matrix-equations pythagorean-triples

Is the hypotenuse of a triangle ever divisible by three (for primitive Pythagorean triples)?

number-theory pythagorean-triples

Are there finitely many Pythagorean triples whose smallest two numbers differ by 1?

number-theory diophantine-equations pythagorean-triples

Can a right triangle have odd-length legs and even-length hypotenuse?

geometry pythagorean-triples

Is there a Pythagorean triple whose angles are 90, 45, and 45 degrees?

geometry pythagorean-triples

For which $n$ are there primitive Pythagorean triples with legs of lengths $a$ and $a+n$?

elementary-number-theory diophantine-equations triangles pythagorean-triples

Show divisibility by 7

elementary-number-theory divisibility problem-solving pythagorean-triples

Explain this convergence among Pythagorean triplets

elementary-number-theory pythagorean-triples

If $a+b+c$ divides the product $abc$, then is $(a,b,c)$ a Pythagorean Triple?

geometry proof-writing triangles conjectures pythagorean-triples

Solving the Diophantine Equation $ax^2 + bx + c = dy^2 + ey + f$?

number-theory elementary-number-theory diophantine-equations quadratic-residues pythagorean-triples

Finding $n$ satisfying that there is no set $(a,b,c,d)$ such that $a^2+b^2=c^2$ and $a^2+nb^2=d^2$

number-theory pythagorean-triples

For which $n$ can $(a, nb, c)$ and $(b, c, d)$ be Pythagorean triples?

number-theory algebraic-geometry elliptic-curves pythagorean-triples