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Mashutka [201]
2 years ago
5

URGENT!! LAW OF SINES WORK

Mathematics
1 answer:
Lynna [10]2 years ago
6 0

Answer:

  1.  7.1 cm

  2.  10.9 cm

Step-by-step explanation:

1. You know the legs of a right triangle must be shorter than the hypotenuse. The only answer choice shorter than 8 cm is 7.1 cm.

__

2. By the Law of Sines, ...

  AB/AC = sin(ACB)/sin(B)

  AB = AC·sin(72°)/sin(38°) = 1.545·AC

The approximate value of AC from problem 1 is sufficient to get you close to the answer.

  AB ≈ 7.1×1.545 ≈ 10.9 . . . cm

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