SOLUTION: TRIANGLE ABC and TRIANGLE XYZ are similar triangles. If BA = x + 7, AC = x + 4, YX = x + 2, and XZ = x + 3, find the value of x.

Question 1033540: TRIANGLE ABC and TRIANGLE XYZ are similar triangles. If BA = x + 7, AC = x + 4, YX = x + 2, and XZ = x + 3, find the value of x.
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
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TRIANGLE ABC and TRIANGLE XYZ are similar triangles. If BA = x + 7, AC = x + 4, YX = x + 2, and XZ = x + 3, find the value of x.
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Since triangles ABC and XYZ are similar, their corresponding sides (side dimensions) are proportional.

In particular,  

 = ,  or  = .    (1)

To find "x", cross-multiply. You will get

(x+7)*(x+3) = (x+2)*(x+4).

Simplify and solve for x:

 = ,   or

4x = 3,

x = .

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