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in the opposite figure the unit of length is the centimeter
(the points O K and P are collinear )
(the points O B and A are collinear)
(KB) and (PA) are parallel

OK=X,OP=Y
KB=5
KP=6
and PA=8
CALCULATE THE LENGTH OP​

in the opposite figure the unit of length is the centimeter the points O K and P are collinear the points O B and A are collinearKB and PA are parallel OKXOPYKB class=

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Answer:

see in the picture, we have: y = 6 + x

=> x = y - 6

because KB//PA, using Thales Theorem, we have:

[tex] \frac{ok}{op} = \frac{kb}{pa} \\ \\ = > \frac{x}{y} = \frac{5}{8} \\ \\ < = > \frac{y - 6}{y} = \frac{5}{8} \\ \\ < = > 5y = 8(y - 6) \\ \\ < = > 5y = 8y - 48\\ \\ < = > 3y = 48 \\ \\ = > y = 16[/tex]

because OP = y => OP = 16

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