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Question

AB is 27.32 cm
If true then enter $1$ and if false then enter $0$

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Solution

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In $△ A B C$
$tan 45 = \frac{A B}{B C}$
$A B = B C = x$
In $△ A B D$ ,
$tan 30 = \frac{A B}{B D}$
$B D = A B \sqrt{3}$
$B C + C D = A B \sqrt{3}$
$x + 20 = x \sqrt{3}$
$x = \frac{20}{\sqrt{3} - 1}$
$x = 27.32$
Thus, $A B = B C = 27.32$ cm

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