2 years ago

Find AB. Round the answer to the nearest tenth if needed.

Mathematics

1 answer:

Yuliya22 [10]2 years ago

7 0

9514 1404 393

Answer:

Step-by-step explanation:

The product of segment lengths to the near and far circle intersection points is the same for both "secants". AD is a tangent, so the two intersection points are the same point. This gives ...

AD² = AB·AC

144 = AB(AB +10)

We can add 25 to complete the square.

169 = (AB +5)² . . . write as a square

13 = AB +5 . . . . . . positive square root

8 = AB . . . . . . . . . .subtract 5

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