anonymous
  • anonymous
What is the value of x in the circle below
Mathematics
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anonymous
  • anonymous
What is the value of x in the circle below
Mathematics
jamiebookeater
  • jamiebookeater
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
mathstudent55
  • mathstudent55
x is the radius of the circle, right?
anonymous
  • anonymous
I think yes

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mathstudent55
  • mathstudent55
Yes, it is. Here is another radius. All radii are congruent. |dw:1438042883506:dw|
mathstudent55
  • mathstudent55
can you find the upper x? |dw:1438042948351:dw|
anonymous
  • anonymous
hmm i want to say 18?
mathstudent55
  • mathstudent55
Notice we are dealing with a right triangle, and we can call upon our friend, Mr. Pythagoras, to help us.
anonymous
  • anonymous
16^2 + 4^2 = x
mathstudent55
  • mathstudent55
Use the Pythagorean theorem. x is the radius of the circle and is the hypotenuse of the triangle.
anonymous
  • anonymous
Nice job at explaining @mathstudent55
mathstudent55
  • mathstudent55
@omgitsjc Do you know how to use the Pythagorean theorem?
anonymous
  • anonymous
no not really
mathstudent55
  • mathstudent55
|dw:1438043205414:dw|
mathstudent55
  • mathstudent55
In a right triangle, we call the two legs (the sides that form the right angle) legs a and b. The longest side, opposite the right angle, is the hypotenuse. We call the hypotenuse c.
mathstudent55
  • mathstudent55
The Pythagorean theorem states that \(a^2 + b^2 = c^2\) is true for every right triangle.
anonymous
  • anonymous
is it 16.49?
mathstudent55
  • mathstudent55
Look at the last picture above. We have a = 4; b = 16; we need c \(4^2 + 16 ^2 = c^2\) \(c = \sqrt {272} \) \(c \approx 16.49\)
mathstudent55
  • mathstudent55
Correct.
mathstudent55
  • mathstudent55
Remember to round off to the nearest tenth.
mathstudent55
  • mathstudent55
@Nixy Thanks.
anonymous
  • anonymous
Thank you!
mathstudent55
  • mathstudent55
You're welcome.

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