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Intermediate Math Circles Wednesday 15 October 2014
... some results. Some of this material will be familiar and some of this will stretch what you already know. Problems From Last Week Let us take up three problems from last week. We will have volunteers present a solution for a prize. Complete solutions can be found on our website at http://www.cemc.uw ...
... some results. Some of this material will be familiar and some of this will stretch what you already know. Problems From Last Week Let us take up three problems from last week. We will have volunteers present a solution for a prize. Complete solutions can be found on our website at http://www.cemc.uw ...
Review
... Check your answer and make sure that it makes sense in the picture If the figure is smaller, then the corresponding part must be smaller than the given piece of the larger ...
... Check your answer and make sure that it makes sense in the picture If the figure is smaller, then the corresponding part must be smaller than the given piece of the larger ...
USAMTS Round 3 - Art of Problem Solving
... by being an angle of a regular pentagon, angles A2A1A3 and A2A3A1 are equal to (180 - 108) / 2 = 36 degrees. Since angle A4A3A2 is equal to 108 degrees and angle A2A3A1 is equal to 36 degrees, angle A4A3A1 is equal to 108 - 36 = 72 degrees. Next, since congruent angles B1 B2 B3 B4 B5 add up to 180 d ...
... by being an angle of a regular pentagon, angles A2A1A3 and A2A3A1 are equal to (180 - 108) / 2 = 36 degrees. Since angle A4A3A2 is equal to 108 degrees and angle A2A3A1 is equal to 36 degrees, angle A4A3A1 is equal to 108 - 36 = 72 degrees. Next, since congruent angles B1 B2 B3 B4 B5 add up to 180 d ...
TRIANGLES
... to be given in lessons nine and ten as well as a four A4 page pamphlet and an A3 poster in lesson eleven. Projects are: (A) why are pylons made from triangles? (B) using the sin and cos ratios (as well as tan); (C) triangle numbers (D) how can we construct a triangle given three sides and a compass? ...
... to be given in lessons nine and ten as well as a four A4 page pamphlet and an A3 poster in lesson eleven. Projects are: (A) why are pylons made from triangles? (B) using the sin and cos ratios (as well as tan); (C) triangle numbers (D) how can we construct a triangle given three sides and a compass? ...
9.6 Solving Right Triangles
... two acute angles, one hypotenuse and two legs. To solve a right triangle, means to determine the measures of all six (6) parts. You can solve a right triangle if the following one of the two situations exist: – Two side lengths – One side length and one acute angle measure ...
... two acute angles, one hypotenuse and two legs. To solve a right triangle, means to determine the measures of all six (6) parts. You can solve a right triangle if the following one of the two situations exist: – Two side lengths – One side length and one acute angle measure ...