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Find the value of 
x if 
/_\ABC∼/_\DEF.


x=16

11. Find the value of x x if ABCDEF \triangle A B C \sim \triangle D E F .\newlinex=16 x=16

Full solution

Q. 11. Find the value of x x if ABCDEF \triangle A B C \sim \triangle D E F .\newlinex=16 x=16
  1. Identify Similar Triangles: Identify that similar triangles have proportional sides.
  2. Set Up Proportion: Set up the proportion using the corresponding sides of the similar triangles. Let's say the sides of triangle ABC are aa, bb, and cc, and the sides of triangle DEF are dd, ee, and ff. Since x=16x=16, we have one of the sides for triangle DEF. We need to know which sides correspond to xx to set up the proportion correctly.
  3. Solve Proportion: Without loss of generality, assume side ee corresponds to xx. Then the proportion is be=cf\frac{b}{e} = \frac{c}{f}. But we don't have the values for bb, cc, or ff, so we can't solve the proportion.

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