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Solve the triangle, if possible. a 24.01 am, b- 8.43 cm, A-39.4 Select the corre

ID: 3135665 • Letter: S

Question

Solve the triangle, if possible. a 24.01 am, b- 8.43 cm, A-39.4 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. Round degree measures to the nearest tenth as needed. Round side measures to the nearest hundredth as needed.) A. There are 2 possible solutions to the triangle. The measurements for the solution with the longer side c are as follows The measurements for the with the shorter side c are as follows. angles B and C and side c are as follows. Click to select and enter your answer(s)

Explanation / Answer

by law of sines a/sinA=b/sinB=c/sinC

=>24.01/sin39.4o=8.43/sinB

=>sinB=(8.43/24.01)sin39.4o

=>B=12.876849079564375497911694986003o

=>B= 12.9o

A+B+C=180o
=>39.4o+12.876849079564375497911694986003o+C=180o
=>C=127.723150920435624502088305014o

=>C=127.7o

24.01/sin39.4o=c/sin(127.723150920435624502088305014o)

=>c=(24.01/sin39.4o)sin(127.723150920435624502088305014o)

=>c=29.920324242059550114910460240458

=>c=29.92 cm

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