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marin [14]
3 years ago
6

Find the missing side length assuming lines that appear to be tangent are tangent. Show work on piece of paper.

Mathematics
1 answer:
KIM [24]3 years ago
3 0

Answer:

20

Step-by-step explanation:

Since the line of length 16 is a tangent to the circle, then the angle between it and the radius is right.

? is the hypotenuse of the right triangle formed.

Using Pythagoras' identity on the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

?² = 12² + 16² = 144 + 256 = 400 ( take the square root of both sides )

? = \sqrt{400} = 20

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