The radical number 2 of BC=20
AC=BD= radical 2BC=400
2.cosA=AC/AB= 1/2 ∠A=60 degrees.
SinB=AC/AB= 1/2 ∠B=30 degrees.
Step 3 be square
Connect EC, FD, MA and NB respectively.
BN passes through EC at G point, and then G, H, T and P are counterclockwise.
Triangle APN is similar to triangle BGE.
AP=BG PN=EG
In the same way.
AP=BG=HC=DT
PN=EG=FH=MT
Then the quadrilateral GHTP is a diamond with four equal sides.
APN is similar to ATD and ADN.
So GPT angle =90 degrees
The quadrilateral GHTP is a square.
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