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xenia168

Answer:

Step-by-step explanation:

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Answer:

EC=2, AD=2.4

Step-by-step explanation:

Objectives: Similar Triangles. We need to establish the scale factor of the similar triangles, and use that factor to find the missing side length.

The corresponding similar side of the left triangle is AD and AB. AB measure is 4.5 and AD measure is 1.5 so this means that AB is 3 times as long as AD. This also means that for the other sides of the left triangle as well.

  • AC is 3 times as long as AE
  • BC is 3 times as long as DE

Using this information and what given in the diagram, AC measure is 3 but we need to find EC measure. We can use the addition postulate to find EC.

  • AE+EC=AC
  • 1+EC=3
  • EC=2

The same can be done for the triangle on the right. AC is 3 times longer than AE, so this means that AB is 3 times longer than AB using that knowledge, AD measure is 2.4

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