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13-07-2020
Mathematics

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What is the length of segment AC?

What is the length of segment AC class=

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13-07-2020

Answer:

AC = 12

Step-by-step explanation:

If segment AB is tangent to circle C, then

angle ABC is 90 degrees, so that the Pythagorean theorem applies.

AC^2

= AB^2 + BC^2

= 9.6^2 + 7.2^2 factor out 2.4

= 2.4^2(4^2+3^2) use 3^2+4^2 = 5^2

= 2.4^2*5^2

AC = sqrt(AC^2) = sqrt(2.4^2*5^2) = 2.4*5 = 12

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