Two sides and an angle are given below. Determine whether the given information

Question

Two sides and an angle are given below. Determine whether the given information results in one triangle, two triangles or no triangle at all. Sove any triangle(s) that results. b8,c-1,B-140 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice Type an integer or decimal rounded to two decimal places as needed.) OA. A single triangle is produced, where Cand a O B. Two triangles are produced, where the triangle with the smaiter angle C has C, and a and the tiangle with the larger aAg and O C. No triangles are produced Click to select and enter your answerls. avascript:doExercise(4): 31 E5 esc F2 F1

Explanation / Answer

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

=>8/sin140o=1/sinC
=>sinC=(1/8)sin140o
=>C=4.61o

A+B+C=180o
=>A+140o+4.61o=180o
=>A=35.39o

a/sin35.39o=8/sin140o
=>a=8sin35.39o/sin140o
=>a=7.21

A.A single triangle is produced ,where C=4.61o,A=35.39o,a=7.21

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