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Answer:

DY= 51.2

JUST TOOK THE TEST

Step-by-step explanation:


Given that △HKS and △DLY are similar triangles, the length of DY = 51.2

Corresponding Sides of Similar Triangles

  • If two triangles are similar to each other, their corresponding sides are proportional to each other.
  • Corresponding sides of similar triangles have ratio that are equal.

Given that, △HKS∼△DLY, therefore:

DY/HS = DL/HK

  • Substitute

DY/32 = 24/15

DY = (32 × 24)/15

DY = 51.2

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