## Pythagorean triangle – perimeter is a square and area a cube

Find a Pythagorean triangle whose perimeter is a square and area a cube

math grad - Interest: Number theory
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### 4 Responses to Pythagorean triangle – perimeter is a square and area a cube

1. Paul says:

Here are a couple

{144,192,240}, p = 24^2, area = 24^3
{150,360,390}, p = 30^2, area = 30^3
{9216,12288,15360}, p = 192^2, area = 384^3
{9600,23040,24960}, p = 240^2, area = 480^3
{12960,57600,59040}, p = 360^2, area = 720^3
{20808,176256,177480}, p = 612^2, area = 1224^3
{37026,610368,611490}, p = 1122^2, area = 2244^3
{103680,194400,220320}, p = 720^2, area = 2160^3
{104976,139968,174960}, p = 648^2, area = 1944^3
{109350,262440,284310}, p = 810^2, area = 2430^3
{113256,301158,321750}, p = 858^2, area = 2574^3
{113400,119070,164430}, p = 630^2, area = 1890^3
{127008,435456,453600}, p = 1008^2, area = 3024^3
{158400,784080,799920}, p = 1320^2, area = 3960^3
{191646,1238328,1253070}, p = 1638^2, area = 4914^3
{208568,1504926,1519310}, p = 1798^2, area = 5394^3
{259920,2462400,2476080}, p = 2280^2, area = 6840^3
{345744,1361367,1404585}, p = 1764^2, area = 6174^3
{363776,5086368,5099360}, p = 3248^2, area = 9744^3
{468198,8655336,8667990}, p = 4218^2, area = 12654^3

Paul

• benvitalis says: