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

Solutions of Triangles with three sides Exercise 12.6

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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