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Video instructions and help with filling out and completing Can Form 2220 Respectively

Instructions and Help about Can Form 2220 Respectively

Hey, this is Pressure Locker. We'll start out with this square. From the bottom left corner of the square, I'll draw a line segment to the interior with a length of 12. From the endpoint of this line segment, I'll construct a perpendicular going up and to the left with a length of 3. From the endpoint of this line segment, I'll construct another perpendicular that connects to the upper right-hand corner of the square. This line segment has a length of dyeing. The question is, from the given information, what is X? The length of the square's side. Can you figure it out? Give this problem a try, and when you're ready, keep watching the video for the solution. So before I present the approach that eventually led me to the answer, I want to go over some of the approaches that did not work for me. I first considered the right triangles in the interior of the square. While I could solve for the areas of these triangles and the hypotenuse of these triangles, this didn't lead me directly to the length of the square side. I then tried to work out the problem using coordinate geometry, but in spite of trying a few equations, I still wasn't able to solve for X. So then it struck me, in the third approach I took to this problem, I imagined focusing on just the inside line segments in the interior of the square. I wanted to figure out the distance from end to end, so I considered what would happen if I rotated the figure so it'd be easier to analyze. Then it struck me, I connected the endpoints of these line segments, and then I realized we basically have one large right triangle. I can move the length of nine...