Answer:
The length of each blue trim is 17.2 inches
Step-by-step explanation:
Given
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Required
The length of each blue trim
Since all 4 triangles are equal, then the dimension of 1 triangle is:
[tex]Side\ 1 = 10[/tex]
[tex]Side\ 2 = 14[/tex]
The hypotenuse (x) of the triangle blue trim is represented by the blue trim
So:
[tex]x^2 = Side\ 1^2 + Side\ 2^2[/tex]
This gives
[tex]x^2 = 10^2 + 14^2[/tex]
[tex]x^2 = 100 + 196[/tex]
[tex]x^2 = 296[/tex]
Take square root
[tex]x = \sqrt{296[/tex]
[tex]x = 17.2in[/tex]