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The process of 12 questions in Meishan mathematics senior high school entrance examination in 2009
Let A(a, 6/a), then a square +(6/a) square = 16,

Solution: Party A =8+2 times the root number 7= (root number 7+ 1) or Party A =8-2 times the root number 7= (root number 7- 1).

So a= radical number 7+ 1 or a= radical number 7- 1. 6/a= radical number 7- 1 or 6/a= radical number 7+ 1. According to the graph, a (root number 7- 1, root number 7+ 1) can be obtained.

AC= root number 7- 1, OC= root number 7+ 1. OB=(4/3) (root number 7- 1) can be obtained by triangle similarity.

BC=OC-OB=-( 1/3) Root number 7+7/3. AB=OB=OB=(4/3) (radical number 7- 1).

So the circumference of triangle ABC is: (root number 7- 1)-( 1/3) root number 7+7/3+(4/3) (root number 7- 1)=2 times root number 7.