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3 years ago

Help find missing segment??

Mathematics

1 answer:

AleksandrR [38]3 years ago

7 0

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Let x as the missing segment.

_________________________________

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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