Is it possible to solve the dimensions of any triangle when given the lengths of two sides and one angle of the triangle? Be ready to go over an example of a triangle you have created and solve for the missing dimensions.
What would be different if the triangle you were trying to solve was a right triangle? Be ready to go over an example of a triangle you have created and solve for the missing dimensions.
Is it possible to solve the dimensions of any triangle when given the length of one side and two angles of the triangle? Be ready to go over an example of a triangle you have created and solve for the missing dimensions.
You are building a house and are making a drawing of the kitchen. The sink is 3 feet away from the dishwasher, and the sink is 8 feet away from the fridge. The included angle between the distances is 48°. How far away is the dishwasher from the fridge? Explain. Are these reasonable dimensions for a kitchen? If not, what would you change?
Given 2 sides, if the angle is included between the two sides, then yes you can solve the triangle starting with Law of Cosines. If the angle is NOT included between the two sides, there might be 0, 1, or 2 triangles. Try a search for "determine 1, 2, or no triangles Law of Sines" to find a video on that topic.
If it's a right triangle given two sides the triangle can always be solved. Use Pythagorean theorem to find the 3rd side (at least that is one way). Use inverse trig ratio to find one of the missing acute angles.
Given one side and two angles the 3rd angle can be found using Triangle Sum Theorem (add to 180). Then the Law of Sines can be used to find to find the missing sides.
Use Law of Cosines (two sides and an included angle). Reasonable for dimensions of a kitchen? Dishwasher usually closer to sink?
