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 :

`(26)/(x) = (12)/(36) \\`

`(26)/(x) = (12)/(12 * 3) \\`

`(26)/(x) = (1)/(3) \\`

Inverse both sides

`(x)/(26) = (3)/(1) \\`

`(x)/(26) = 3 \\`

Multiply sides by 26

`26 * (x)/(26) = 26 * 3 \\`

`x = 26 * 3`

`x = 78`

Thus the missing segment has a measure of 78 .

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