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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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Hints/Tips re(3): easy - spoiler | Comment 4 of 6 |
(In reply to re(2): easy - spoiler by Ady TZIDON)

the area implies a*b=48.

The area implies base*height = 48, which is not quite the same thing.

Triangle {3,4,5}*3={9,12,15}, area 54. Triangle {5,12,13} has area 30. If you align the right angles and deduct the smaller area from the larger, a new triangle appears, area (54-30)=24, sides 4,13,15.

  Posted by broll on 2017-08-06 07:16:36
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