self Maths Puzzle

A right-angled triangle whose sides are all integers has a perimeter which is a perfect square and an area which is a perfect cube. Find the sides, perimeter, and area of the smallest possible solution.

Read Solution (Total 1)

based on a factor of 24
The base is 6 x 24.
The side is 8 x 24.
The hypotenuse is 10 x 24.
The perimeter is 24 x 24.
The area is 576 x 24.

So this is a 3:4:5 triangle multiplied by 48!
12 years agoHelpfull: Yes(1) No(2)

self Other Question

Find a 6-digit integer abcdef with the following properties:

Take the rightmost digit and place it in front of the integer to form a new number (abcdef --> fabcde).

The new one is the product of the old one and the shifted digit (fabcde = f*abcdef).

What was the original integer? The six digits of a prime number are in ascending order, and they're all different. The sum of the digits is another prime.
find the six digit prime numbre.