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I found this answer on the Internet. *If* it were an original answer, below is how I would grade it and why.

The Chord Intersection Theorem:
If 2 chords of a circle are AB and CD and they intersect at E, then
AE * EB - CE * ED.
Problem.
Two Chords AB and CD intersect at E. If AE = 2cm, EB = 4 and CE = 2.5 cm, find the length of ED.
By the above theorem: 2*4= 2.5 * ED
ED = (2 * 4)/2.5
3.2 cm.

1 Answer

3 votes

Answer:

1) It is given that line AB is tangent to the circle at A.

∴ ∠CAB = 90º (Tangent at any point of a circle is perpendicular to the radius throught the point of contact)

Thus, the measure of ∠CAB is 90º.

User Sergey Lost
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