AX and EX are secant segments that intersect at point X. Circle C is shown. Secants A X and E X intersect at point X outside of
the circle. Secant A X intersects the circle at point B and secant E X intersects the circle at point E. The length of A B is 7, the length of B X is 2, and the length of X D is 3. What is the length of DE? 1 unit 3 units 4One-half units 4Two-thirds units
2 answers:
Answer:
DE = 3 units
Step-by-step explanation:
The image is attached.
There are 2 secant lines in the circle. We can use secant theorem to solve this easily.
It states that "if 2 secants are drawn to a circle from an outside point, then product of 1 secant and its "outside" part is equal to product of other secant and its "outside" part.
From the figure, we can say:
AX * BX = EX * DX
We let the length to find , DE, be "x".
Thus, we can write:
Now, we solve this for x:
Thus,
<u>DE = 3 units</u>
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