If CD = 12, find the value of EB.

Mathematics

1 answer:

Nutka1998 [239]4 years ago

4 0

Answer:

Step-by-step explanation:

Here, we are told to find the length of EB

Since the chords AB and CD are both 5 units(equidistant) away from the center of the circle, then we can conclude that they are both congruent and thus are equal in length

Now we use a circle theorem to solve for the length EB

The theorem is that a line that joins the center of a circle to a chord makes a perpendicular angle with the chord and splits the chord into 2 equal parts.

Now we can say that; AB = AE + EB so we split 12 into 2 which is 6 units and that is the length of EB

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Formula

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