Home fsc 1st year math solutions Solutions of Triangles with three sides Exercise 12.6

Solutions of Triangles with three sides Exercise 12.6

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Application of Trigonometry 12.6
Application of Trigonometry 12.6


Solve the following triangles, in which

  1. a=7, b=7, c=9 2. a=32, b=40, c=66
  2. a=28.3, b=31.7, c=42.8
  3. a=31.9, b=56.31, c=40.27
  4. a=4584, b=5140, c=3624
  5. Find the smallest angle of the triangle A B C, when a=37.34, b=3.24, c=35.06.
  6. Find the measure of the greatest angle, if sides of the triangle are 16,20,33.
  7. The sides of a triangle are x^2+x+1,2 x+1 and x^2-1. Prove that the greatest angle of the triangle is 120^{\circ}.
  8. The measures of side of a triangular plot are 413,214 and 375 meters. Find the measures of the corner angles of the plot.
  9. Three villages \mathrm{A}, \mathrm{B} and \mathrm{C} are connected by straight roads 6 \mathrm{~km}, 9 \mathrm{~km} and 13 \mathrm{~km}. What angles these roads make with each other?
Previous articleSolutions of Triangles Exercise 12.4
Next articleSolution of Triangle with law of cosine Exercise 12.7
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