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Triangles C B A and R Q P are shown. The length of C B is 10, the length of B A is 10, and the length of A C is 14. The length of R Q is y, the length of Q P is 6, and the length of P R is 28.
For the triangles to be similar by the SSS similarity theorem, what must be the value of y?
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Reason: Corresponding sides are proportional. The longest side 14 corresponds to 28, so the scale factor is 28/14 = 2. Thus the sides of length 10 become 10·2 = 20, so y = 20.
Reason: Corresponding sides are proportional. The longest side 14 corresponds to 28, so the scale factor is 28/14 = 2. Thus the sides of length 10 become 10·2 = 20, so y = 20.
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