McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
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Exercise 17 Page 607

The ratio between corresponding sides are the same for all pairs of corresponding sides in similar triangles.

16.5

Practice makes perfect

We are told that the triangles are similar, and we want to find the value of x.

Since the figures are similar, their corresponding sides are also similar. Let's identify corresponding sides.
  • There is only one side on each polygon included between two indicated angles. These are corresponding sides.
  • Similarly, there is only one side on each polygon included between the twice marked angle and not indicated angle. Thus, they are also corresponding sides.
  • The remaining sides are also corresponding.
The ratio between corresponding sides is the same for all pairs of corresponding sides. 12/16 = x/22 Let's solve this ratio for x.
12/16=x/22
â–Ľ
Solve for x
12 * 22=16 * x
264=16x
264/16=x
33/2=x
x=33/2
x=16.5