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The Three-Chord Lemma

​
angles BAC and DAC
∠BAC
≈
22.500°
∠DAC
≈
22.500°
AB
+
AD
≈
3.637
2
AC
cos[∠BAC]
=
2
AC
cos[∠DAC]
≈
3.637
Let AB, AC, and AD be three chords on a circle such that AC bisects
∠
BAD. Then
AB+AD=2ACcos(∠BAC)
.
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