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[Music] thank you hello indirect measurement takes what we know about similar triangles and proportionality and applies us to fine the lengths of different polygons or triangles by using something called indirect measure so are the two triangles below similar well we can compare the corresponding sides to see if we get the same K do we get the same scale factor for each so if I look at side a b which is 12 on the large triangle would correspond with X Y on the small so that would be 12 over 6 which gives us a scale factor of two when we divide and I can check each of the other sides as well so let's look at line segment BC on our large triangle would correspond with y z on the small so 8 divided by 4 also gives us a scale factor of two and our last set of sides AC from a to c is 10 corresponds with X to Z which is 5 which gives us a scale factor of two so if we spark start with a small triangle if I multiplied each of these sides by 2 I would get the large triangle showing a sc

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