Find two Pythagorean triangles and such that

are all squares

And, the difference of areas a cube

represent the respective perimeters

the respective diameters of inscribed circles

Find two Pythagorean triangles and such that

are all squares

And, the difference of areas a cube

represent the respective perimeters

the respective diameters of inscribed circles

Find a Pythagorean triangle with perimeter a square and diameter of the inscribed circle a cube

Let the sides be

, ,

Then

the diameter is to be a cube, say

From the two values of

we get in terms of

Find two Pythagorean triangles the sum or difference of whose perimeters is a square,

the difference of areas a square

Find Pythagorean triangles each of whose sides is a sum of two squares.

For example,

Find two Pythagorean triangles **(a, b, c)** and **(d, e, f)** for which

**a – b = e – f**, and

**b – c = d – e**

Find a Pythagorean triangle such that

are all squares

Find a Pythagorean triangle such that the square of any side exceeds that side by a square

Find a Pythagorean triangle the sum whose perimeter and square of any side is a square

Let the sides be , where

Then

are made squares

where , , ,

Solve

(1)

(2)

where are the two odd legs in a Pythagorean triangle.