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faltersainse [42]
2 years ago
10

If EB=7, find the value of CD

Mathematics
1 answer:
Marizza181 [45]2 years ago
5 0

Both lines AB and CD are secant lines beacuse in two points they are touching the circunference. There is a Theorem which says the following

PB\cdot PA=PD\cdot PC

Since the distance from the center of the circle to each secant line is the same (5 units), we could assume that the both secant lines are similar. saying:

PB=PD;\text{ }PA=PC\Rightarrow AB=CD

Then the lenght of CD is:

CD=2\cdot EB=2(7)=14

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