This math project simulates the situation where two side lengths of a triangle are known, and one angle is too. -------------------------------Instructions---------------------------------- -Drag the dot around to see where the END of the red line connects to the blue line. That is a solution to the triangle! -Sometimes, there is no solution to the triangle. See the "Other Notes" section below to find out more.... --------------------------------Other Notes-------------------------------- -When solving a triangle in the following situation: a) Two side lengths are known b) One angle measure not between those two sides is also known There are a few things that can happen. -First, one of the sides (let's call it "Side Red") could be too short, not able to reach "Blue Side". There are no solutions, and it is not an actual triangle. -Second, Red Side is just long enough to reach Blue Side. There is one solution in this case. -Third, when Red Side is so long that it passes THROUGH Blue Side. Rotating Red Side allows its end to touch Blue Side, but it can do this in two places, meaning there are two solutions. -The final case is where Red Side is longer than Green Side, meaning it is long enough to reach Blue Side, but too long to have two solutions, Therefore, it has one solution, even if you can't see it on the screen due to screen size limitations. -Have fun! -If it helps, here is the Law of Sines, used to find one solution to this type of triangle (if there is any): a/sin(A) = b/sin(B) = c/sin(C) ------------------------------------Credits----------------------------------- -Thanks to all of my math teachers over the years, who have helped me to understand the math that is involved, enough to make this project. -All code and art is by me. -------------------------------------Tags------------------------------------- #Math #Simulator #Triangle #Side
