Question

Help find missing segment??

Answer 1

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Let x as the missing segment.

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According to the Thales theorem :

$\frac{26}{x} = \frac{12}{36}$

$\frac{26}{x} = \frac{12}{12 \times 3}$

$\frac{26}{x} = \frac{1}{3}$

Inverse both sides

$\frac{x}{26} = \frac{3}{1}$

$\frac{x}{26} = 3$

Multiply sides by 26

$26 \times \frac{x}{26} = 26 \times 3$

$x = 26 \times 3$

$x = 78$

Thus the missing segment has a measure of 78 .

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