ACCEPTED SOLUTION
Accepted Solutions
???? How could the triangle BDE have an area as much as 1 cm^2 ????
The max area possible is 0.45 cm^2 for theta=45°
BTW, you know that the youtube link you posted is a picture and so is not clickable or text-copyable!? Sure you don't expect us to retype it. 😉
And then - the area of which triangle you really are looking for? The thread topic and in the Prime screenshot we read ABD, but the thread body and the screenshot header says ABE !??
Puzzle 24 is find integer a, b and c, But it is too hard to solve.
Puzzle 25 If you find a answer, how area size of BDE, that has the largest value, and find the area ABE.
@ttokoro wrote:
And also all positive integers a, b and c are available.
a=154476802108746166441951315019919837485664325669565431700026634898253202035277999,
b=36875131794129999827197811565225474825492979968971970996283137471637224634055579,
c=4373612677928697257861252602371390152816537558161613618621437993378423467772036
Indeed!
The additional requirement for only "positive" integers truly makes a huge difference and is definitely a challenge I am not up to.
Guess that brute force in Mathcad or Prime using symbolic evaluation would not finish in my lifetime to find these numbers 😉
Just found that solution publishes here
by searching for one of the solution numbers.
Do you know how this result was found?
EDIT: Found a nice explanation here; https://www.quora.com/How-do-you-find-the-positive-integer-solutions-to-frac-x-y+z-+-frac-y-z+x-+-frac-z-x+y-4
???? How could the triangle BDE have an area as much as 1 cm^2 ????
The max area possible is 0.45 cm^2 for theta=45°
BTW, you know that the youtube link you posted is a picture and so is not clickable or text-copyable!? Sure you don't expect us to retype it. 😉
And then - the area of which triangle you really are looking for? The thread topic and in the Prime screenshot we read ABD, but the thread body and the screenshot header says ABE !??
