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Lake Geometria Answer Key  Form

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let's find the distance X across the lake the figure is not to scale what you can see here is I have a large triangle where X kind of goes across this piece of the lake and we know this bottom distance is 115 feet it is lined up with another triangle and you can see this forms one line that goes through the hypotenuse of each of them and this is 24 feet and this is 18 feet what we are going to do here is use similar triangles now how do we know they're similar triangles well we know they both have a right angle and because this lines up we know that these are vertical angles so what do I know I know that this angle is the same as this angle and then the right angle is the same as the other right angle which means that these last two angles have to be the same as well so I know that corresponding angles are equal which means the corresponding sides will have a constant ratio so what we have to do is line up what corresponds to what and what do we know so what I'm going to look at is thi

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