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A 13-unit ladder leans against a wall with its foot at F(5, 0) and its top at T(0, 12). A paint mark is at its midpoint. The ladder slips: its top is now at (0, 5) and its foot at (12, 0). By how many units has the paint mark moved DOWN?

Class 10Midpoint ApplicationsGeometry — Coordinates
  • A3.5
  • B7
  • C2.5
  • D6

Step-by-Step Solution

Old midpoint = ((5 + 0)/2, (0 + 12)/2) = (2.5, 6). New midpoint = ((12 + 0)/2, (0 + 5)/2) = (6, 2.5). It moved down by 6 - 2.5 = 3.5 units.
Answer: A) 3.5

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