rayankoleva rayankoleva
  • 27-05-2020
  • Mathematics
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What is the measurement of the highlighted side x? Please help and show steps please :)

What is the measurement of the highlighted side x Please help and show steps please class=

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ronhagrid310
ronhagrid310 ronhagrid310
  • 27-05-2020

Answer:

Denote the O, A, B, C, D as shown in attached image:

O is center of circle.

OA = OC = OD = radius of circle

=> triangle OAD is isosceles

=> BA = BD = 12.8

Applying Pythagorean theorem:

OB = sqrt(OA^2 - BA^2) = sqrt(15.1^2 - 12.8^2) = 8.0

=> x = OC - OB = 15.1 - 8.0 = 7.1

Hope this helps!

:)

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