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kykrilka [37]
4 years ago
5

Given circle O with chords CD = 12 and

Mathematics
1 answer:
LuckyWell [14K]4 years ago
0 0

Answer:

  • FB=6 Units
  • OE= 8 Units

Step-by-step explanation:

Theorem: A line drawn from the center perpendicular to the chord bisects the chord.

By the Theorem above, Point E and F bisects CD and AB into 6 Units each as seen in the diagram.

Therefore:

|FB|=6 Units

In Right Triangle OED, applying Pythagoras Theorem

10^2=6^2+|OE|^2\\|OE|^2=100-36\\|OE|^2=64\\|OE|^2=8^2\\|OE|=8 \:Units

Therefore:

  • FB=6 Units
  • OE= 8 Units

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