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Matching Isosceles and Right Triangle (Posted on 2016-02-19) Difficulty: 4 of 5
Find a pair of triangles, one is a right triangle and one is an isosceles triangle, subject to the following conditions:
1) Both triangles have integer sides.
2) Both triangles have the same perimeter
3) Both triangles have the same integer area.

See The Solution Submitted by Brian Smith    
Rating: 4.0000 (1 votes)

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Solution Google search (spoiler) Comment 7 of 7 |
Well, it turns out that it is easy to find the answer online once you already have the answer.  A google search for "triangle (135,352,377)" finds a wolfram page that asserts this is the only solution where the right triangle has sides of less than 400,000.  So I guess I am suspending my search.


  Posted by Steve Herman on 2016-02-22 07:53:44
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