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A Triangle in a Square (Posted on 2019-08-21) Difficulty: 3 of 5
ABCD is a square with points E and F on sides AB and BC respectively. Given DF=4, EF=3, and DE=5 find the area of the square.

No Solution Yet Submitted by Brian Smith    
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general solution | Comment 4 of 7 |
My solution is basically the same as xdog but I found it enjoyable enough to extend it.

The inner triangle is right with short leg DE and long leg EF.

In general if the right triangle has short leg = a and long leg = b the area of the square is

b^4/(2b^2-2ab+a^2)

  Posted by Jer on 2019-08-21 20:30:18
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