Question

Question 13
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Answer 1

16 cm

Explanation:

tan/sec Theorem

a² = b(b+c)

8² = 4(4+c)

64 = 16 + 4c

48 = 4c

12 = c

12 + 4 = 16 cm

Answer 2

AC = 16 cm

Explanation:

given a tangent and a secant from an external point to the circle, then

the square of the measure of the tangent is equal to the product of the measures of the secant's external part and the entire secant, that is

AB × AC = AD²

4x = 8² = 64 ( divide both sides by 4 )

x = AC = 16 cm