1 Answer

Rob Paddock · Answer 1 · 2021-08-09T21:54:43+0000

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According to Thales theorem :

$(AB)/(AE) = (BC)/(ED) \\$

$(2)/(2 + 5.2) = (s)/(6) \\$

$(2)/(7.2) = (s)/(6) \\$

$(1)/(3.6) = (s)/(6) \\$

$(s)/(6) = (1)/(3.6) \\$

Multiply sides by 6

$6 * (s)/(6) = 6 * (1)/(3.6) \\$

Simplification

$s = (6)/(3.6) \\$

$s = \frac{6}{36 * {10}^( - 1) } \\$

$s = \frac{6 * {10}^(1) }{36} \\$

$s = (6 * 2 * 5)/(6 * 2 * 3) \\$

6 s and 2 s are simplify

$s = (5)/(3) \\$

s≈1.67

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