SOLUTION: In my question I'm asked to identify the similar triangles and find the value of x. Here's an image of my problem: https://i.imgur.com/yjbfJ9J.png I know triangle ABD is sim

Algebra ->  Triangles -> SOLUTION: In my question I'm asked to identify the similar triangles and find the value of x. Here's an image of my problem: https://i.imgur.com/yjbfJ9J.png I know triangle ABD is sim      Log On


   

Question 1110850: In my question I'm asked to identify the similar triangles and find the value of x.
Here's an image of my problem: https://i.imgur.com/yjbfJ9J.png
I know triangle ABD is similar to triangle CDE.
How would I go about in finding the value of x?
Thanks.

Answer by ikleyn(52810) About Me  (Show Source):
You can put this solution on YOUR website!
.
From the triangles similarity, you have the proportion for corresponding sides:


x%2F8 = 4%2F6   (= the_shorter_leg%2Fthe_longer_leg ).


From the proportion,  x = %288%2A4%29%2F6 = 32%2F6 = 16%2F3.

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On similar triangles, see the lessons
    - Similar triangles
    - Similarity tests for triangles
    - Proofs of Similarity tests for triangles
    - In a triangle a straight line parallel to its side cuts off a similar triangle
    - Problems on similar triangles
in this site.