Two angles of a triangle measure 48° and 97°. If the longest side is 12 cm, find the length of the shortest side to the nearest
tenth.
A) 5.8 cm
B) 6.9 cm
C) 8.1 cm
D) 9.0 cm
A) 5.8 cm
B) 6.9 cm
C) 8.1 cm
D) 9.0 cm
1 answer:
Answer:
B) 6.9 cm
Step-by-step explanation:
The remaining angle is the smallest, 180° -48° -97° = 35°. The shortest side is opposite this angle. The Law of Sines tells you its length is ...
short side = (longest side)·(sin(smallest angle)/sin(largest angle))
= (12 cm)sin(35°)/sin(97°) ≈ 6.9 cm
The shortest side is about 6.9 cm.
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