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A unique Heronian triangle (Posted on 2017-08-05) Difficulty: 4 of 5
Find analytically, the Heronian triangle with area 24.

No Solution Yet Submitted by Jer    
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Solution re(2): easy - spoiler | Comment 3 of 6 |
(In reply to re: easy - spoiler by broll)

Hi broll,

It's neither D4 nor D3:
the area implies a*b=48
wlog assume a<b
so only 5 values are to be tested (i.e. 1,2,3,4,6)
to cause a^2+(48/a)^2  to  be a square number  

ONLY 6  FITS,   THEREFORE  (6,8,10)  =THE SIDES OF OUR TRIANGLE



Edited on August 6, 2017, 6:01 am
  Posted by Ady TZIDON on 2017-08-06 06:00:14

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