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Rudik [331]
3 years ago
10

Help find missing segment??

Mathematics
1 answer:
AleksandrR [38]3 years ago
7 0

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

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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