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Triangle ABC has A(1,1), B(7,1), C(3,5). A point P lies on AB so that area of triangle APC = 6 sq units.
Given area of ABC = 12 sq units, what fraction of AB is AP?

Class 10Area of a Triangle (Coordinates)Geometry — Coordinates
  • A
  • B
  • C
  • D

Step-by-Step Solution

Triangles APC and ABC share the same height from C to line AB, so their areas are proportional to bases AP and AB. AP/AB = area(APC)/area(ABC) = .
Answer: A)

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