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taurus [48]
3 years ago
5

Find length of BA don’t answer if you’re a fake bot

Mathematics
1 answer:
Evgen [1.6K]3 years ago
4 0

Answer:

BA = 22.57

Step-by-step explanation:

perimeter = 60

2BZ + 2ZA = 60

BZ + ZA = 30,    BZ = 30 - ZA

tan 25° = 0.4663

0.4663 = ZA/BZ = ZA/(30 - ZA)

multiply both sides by (30 - ZA):

0.4663(30 - ZA) = ZA

simplify:

13.99 -0.4663ZA = ZA

add 0.4663ZA to each side:

13.99 = 1.4663ZA

divide both sides by 1.4663:

ZA = 9.54

BZ = 30 - 9.54 = 20.46

BA² = 9.54² + 20.46²

BA² = 509.62

BA = 22.57

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