![]() ![]() So here a equals 0, so if I substitute it in 0 for this we're going to get x equals 0 plus b divided by 2 and 0 plus b is just b divided by 2. Then what I would do is I'd be creating a triangle, so we could call this point a, so if we use the exact same formula where x the midsegment is the average of the bases we're going to end up with x equals one half b but why is that? Well as you can see a is just a point and points don't have any distance. But how is this similar to a triangle? Well we said in a triangle midsegment that x is equal to half of b so what's the relationship between a triangle midsegment and a trapezoid midsegment? Well if we looked at this trapezoid if I took this vertex right here and I dragged it all the way until it met this vertex right here. So if you're trying to find one of these missing sides but you know 2 of them all you have to do is plug them into this formula. So we only have 2 terms here, so I'm going to say x is equal to a plus b divided by 2. The second key thing is that x this distance is equal to the average of the bases so the average means to add up and then divide by how many terms you have. The first thing is, is that it is parallel to both of the bases so by finding the midpoint and connecting the midpoints of the we've created another parallel line. Then you're going to connect the 2 forming a line segment, so what I'm going to call this midsegment x I'm going to say it has the length of x there's 2 special things about this midsegment and a trapezoid. Then we're going to go over to the other non parallel side and find the midpoint of that segment. ![]() First thing we're going to do is we're going to find one of our non parallel sides and we're going to find its midpoint. ![]() In a trapezoid where the bases are the 2 sides that are parallel we can draw a midsegment but how do we find a midsegment in a trapezoid? Well it's kind of similar to finding the midsegment in a triangle. ![]()
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