lacypendley4493 lacypendley4493
  • 13-05-2020
  • Mathematics
contestada

Given circle O with chords CD = 12 and

AB = 12. Perpendiculars are drawn from 0 to

E and to F. The radius of the circle is 10. Find

FB

OE.

Respuesta :

Newton9022 Newton9022
  • 16-05-2020

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

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

Therefore:

  • FB=6 Units
  • OE= 8 Units

Ver imagen Newton9022
Answer Link

Otras preguntas

Which is the correct definition of the lymphatic system?
During the process of photosynthesis, energy from the sun is converted into?
Karoline needs to jog 30.5 miles over the next 7 days to train for a race. She plans to jog 4.25 miles each day. Use the drop-down menus to complete the st
How to explain the periodic law?
For a research paper, you have just compiled a stack of resources in your school library. Which aspect would be best to consider when determining each source’s
clearly identify the organizational structure of "The Fish I Didn't Catch." then in a well-developed paragraph explain how this organizational pattern develops
Trying to understand this
If y= -4x + 11 and 3x +y= 9, what is the value of y?
what developments were the foundation of the Scientific Revolution
Which number line shows the correct placement of ‐200‐200, 7575, and ‐150‐150?