Through point A tangent AB (B is the point of tangency) and a secant, intersecting the circle at points C
| August 20, 2021 | education
Through point A tangent AB (B is the point of tangency) and a secant, intersecting the circle at points C and E, are drawn so that AB = 10 cm, AE = 20 cm. Find the length of AC.
Let’s use the property of the tangent and the secant going from one point.
The square of a tangent line segment is equal to the product of the secant line segments from the common point to the intersection points with the circle.
AB ^ 2 = AC * AE.
10 ^ 2 = AC * 20.
AC = 100/20 = 5 cm.
Answer: Speaker length = 5 cm.
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