Let ABC be a triangle with integral side lengths such that angle A=3 * angle B. Find the minimum value of its perimeter.
(In reply to
A triangle that works, may not be minimum by Jer)
Seeing that Jer found a solution other than a multiple of the one I found (I had found the minimum and the first three of its multiples), I extended the search beyond a perimeter of 100, to 1500. This time only triangles with a gcd(a,b,c) = 1 are shown:
10 8 3 21 3 124.228866327813 41.4096221092709
48 27 35 110 3 100.671929285762 33.5573097619207
132 64 119 315 3 86.8650731155795 28.9550243718598
195 125 112 432 3 110.609692937532 36.869897645844
280 125 279 684 3 77.5257982895014 25.8419327631671
357 343 20 720 3 133.245925791579 44.415308597193
504 343 253 1100 3 114.639632105215 38.2132107017382
510 216 539 1265 3 70.6693929273037 23.5564643091012
Edited on March 4, 2015, 10:29 am

Posted by Charlie
on 20150304 10:17:17 