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Triangles ABC and YZX are similar. Use the measurements given in the image below to find the side length of ZX. In your answer, give the side length of ZX and explain how you calculated it. X А 25 Y 40 50 20 Z UD 60 C (100 points if it's correct)​

Triangles ABC and YZX are similar. Use the measurements given in the image below to-example-1
User Courcelan
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2.3k points

2 Answers

22 votes
22 votes
  • ZX/60=20/40
  • ZX/60=1/2
  • ZX=60/2
  • ZX=30
User Mariama
by
2.6k points
9 votes
9 votes

Answer:

  • ZX = 30 units

Explanation:

Since the triangles are similar, the ratio of corresponding sides are same.

ZX is the largest side and corresponding side is BC = 60, the shortest sides are BC = 40 and YZ = 20:

  • ZX / 60 = 20/40
  • ZX / 60 = 1/2
  • ZX = 60/2
  • ZX = 30
User Varuna
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2.3k points