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Question Number 199242 by Tawa11 last updated on 30/Oct/23

Answered by mr W last updated on 30/Oct/23

Commented by mr W last updated on 30/Oct/23

hatched triangles are similar.  (x/2)=(6/( (√(11))))  ⇒x=((12)/( (√(11))))≈3.618

hatchedtrianglesaresimilar.x2=611x=12113.618

Commented by Tawa11 last updated on 30/Oct/23

God bless you sir.

Godblessyousir.

Commented by mr W last updated on 30/Oct/23

is answer correct?

isanswercorrect?

Commented by mr W last updated on 30/Oct/23

yes

yes

Commented by Tawa11 last updated on 31/Oct/23

Correct sir.  Thanks sir.

Correctsir.Thankssir.

Answered by cortano12 last updated on 31/Oct/23

by Ptolomeus theorem    x(√(x^2 +27)) +18 = (√((x^2 +21)(x^2 +36)))   x = ((12(√(11)))/(11))

byPtolomeustheoremxx2+27+18=(x2+21)(x2+36)x=121111

Commented by cortano12 last updated on 31/Oct/23

Commented by Tawa11 last updated on 31/Oct/23

Thanks sir.  I appreciate.

Thankssir.Iappreciate.

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