anonymous
  • anonymous
What is the value of x in the circle below
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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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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