2) Law of sines: a/sin A=b/ sinB In this case: 24 /sin 92º=7/sin Z sin Z=(7*sin 92º)/24=0.29148...≈0.29
Z=arc sin (0.29)=16.95º
Answer: Z=16.95º.
3) Law of cousines: a²=b²+c²-2bc(cos A) In this case: 12²=22²+19²-2(22)(19)cos T 144=484+361-836 cos T -836 cos T=144-484-361 -836 cos T=-701 cos T=-701/-836 cos T=0.83851...≈0.84 T=arc cos (0.84)=33.02
Answer: T=33.02º
4) The hypotenuse would be EF, because it is in front of the right angle. The legs would be EG and FG