what is the lenght of a line segment

User Generated

penml1321

Mathematics

Question Description

circle o has a radius OC that is 5 cm. chord AB is 8 cm and is perpendicular to OC at point p. what is the length of OP in centimeters?

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Explanation & Answer

OA = OB = 5 cm

AB = 8 cm

AP = PB = 8/2 = 4 cm

Triangle OPA is a right triangle with <OPA = 90 degrees

so OP = sqrt (5^2-4^2)

          = 3 cm

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Tbcny_E (1109)
UC Berkeley

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