The figure shows ∆ABC ∼ ∆DEF with side lengths as indicated.
What is the value of x?
∆ABC ∼ ∆DEF states that the two triangles are similar.
In similar triangles, the corresponding sides are in proportion. So, set up a proportion to solve for x. 5 in ∆DEF matches up with x in ∆ABC 9 in ∆DEF matches up with 27 in ∆ABC 5 9  =  {set up a proportion of corresponding sides} x 27 9x = 135 {crossmultiplied} x = 15 {divided each side by 9} Ask Algebra House Comments are closed.

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