SOLUTION: A chord is 5cm from the vented of a circle with a radius of 13 cm. What is the length of the chord
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Question 595054: A chord is 5cm from the vented of a circle with a radius of 13 cm. What is the length of the chord
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Assume it is:
A chord is 5cm from the center of a circle with a radius of 13 cm.
What is the length of the chord
:
If you draw this out, you can see that two right triangles are formed with one side being half the chord, the other 5 cm, the radius is the hypotenuse
a^2 + b^2 = c^2, where:
a = 5 cm
b = half the chord
c = 13
:
5^2 + b^2 = 13^2
b^2 = 169 - 25
b^2 = 144
b =
b = 12 cm is half the chord
therefore
Chord = 24 cm
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