How many right triangles whose sides are all positive whole numbers having the property that the area is numerically equal to the perimeter?

Dear Abhishek,

: Let the triangle have leg lengths a and b, with a, b are whole numbers.

The given condition implies that

1/2ab = a + b +(a2 + b2)^1/2

Thus solving this to get the set of  possible values of a,b 

Best Of Luck...!!!!

Cracking IIT just got more exciting,It’s not just all about getting assistance from IITians, alongside Target Achievement and Rewards play an important role. ASKIITIANS has it all for you, wherein you get assistance only from IITians for your preparation and win by answering queries in the discussion forums. Reward points 5 + 15 for all those who upload their pic and download the ASKIITIANS Toolbar, just a simple  to download the toolbar….

So start the brain storming…. become a leader with Elite Expert League ASKIITIANS

Thanks

Aman Bansal

Askiitian Expert

Approved