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Homefsc 1st year math solutionsSolutions of Triangles using LAWS Exercise 12.5

Solutions of Triangles using LAWS Exercise 12.5

Solve the triangle \mathrm{ABC} in which:?

  1. b=95, \quad c=34 and \alpha=52^{\circ}.
  2. b=12.5, \quad c=23, and \alpha=38^{\circ} .20^{\circ}.
  3. a=\sqrt{3}-1, \quad b=\sqrt{3}+1 and \gamma=60^{\circ}
  4. a=3, \quad c=6 \quad and \beta=36^{\circ} 20^{\prime}
  5. a=7, \quad b=3, \quad and \gamma=38^{\circ} 13 ‘.
    Solve the following triangles, using first Law of tangents and then Law of sines:
  6. a=36.21, \quad b=42.09 and \gamma=44^{\circ} 29^{\prime}
  7. a=93, c=101 and \beta=80^{\circ}
  8. b=14.8, \quad c=16.1 and \alpha=42^{\circ} 45^{\circ}
  9. a=319, \quad b=168 and \gamma=110^{\circ} 22
  10. b=61, \quad a=32 and \alpha=59^{\circ} 30^{\circ}
  11. Measures of two sides of a triangle are in the ratio 3: 2 and they include an angle of measure 57^{\circ}. Find the remaining two angles.
  12. Two forces of 40 N and 30 N are represented by \overrightarrow{A B} and \overrightarrow{B C} which are inclined at an angle of 147^{\circ} 25^{\circ}. Find \overrightarrow{A C}, the resultant of \overrightarrow{A B} and \overrightarrow{B C}.
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