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
