Given: △DMN, DM=10 m∠M=75°, m∠N=45°Find: Perimeter of △DMN
Accepted Solution
A:
Answer: ≈ 35.91Step-by-step explanation:The law of sines lets you find the other sides: DN/sin(M) = MN/sin(D) = DM/sin(N)Angle D is 180° -75° -45° = 60°, so the remaining sides are ... DN = sin(M)/sin(N)×DM = sin(75°)/sin(45°)×10 ≈ 13.66 MN = sin(D)/sin(N)×DM = sin(60°)/sin(45°)×10 ≈ 12.25The perimeter is the sum of the side lengths, so is ... 10 + 13.66 +12.25 = 35.91