SOLUTION: The segment is parallel to one side of the triangle. Find the values of x and y . (Angle) ---> https://media.glynlyon.com/a_matgeo_2011/5/a2.gif x = ? y = ?

Algebra ->  Triangles -> SOLUTION: The segment is parallel to one side of the triangle. Find the values of x and y . (Angle) ---> https://media.glynlyon.com/a_matgeo_2011/5/a2.gif x = ? y = ?      Log On


   

Question 618096: The segment is parallel to one side of the triangle. Find the values of x and y .
(Angle) ---> https://media.glynlyon.com/a_matgeo_2011/5/a2.gif
x = ?
y = ?
Answer by ewatrrr(24785) About Me  (Show Source):
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segment parallel to one side of the triangle forms Similar Triangles:

Corresponding sides of similar triangles are proportional.

 y%2F20+=+10%2F25,  Cross Multiplying to solve

y+=+10%2A20%2F25

  y = 8

 %28x%2B12%29%2F12+=+20%2F8+=5%2F2+,  Cross Multiplying to solve 

     2x + 24 = 60

          2x = 36

        x = 18