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Points A(0,0), B(4,0), C(4,4), D(0,4) are a square's corners. P is the centre (2,2).
Find the area of triangle ABP and explain how four such triangles relate to the square.

Class 10Area of a Triangle (Coordinates)Geometry — Coordinates
  • A4 sq units; four such triangles tile the square of area 16
  • B8 sq units; two triangles tile the square
  • C2 sq units; eight triangles tile the square
  • D16 sq units; equal to the square

Step-by-Step Solution

ABP: base AB = 4, height = distance of P from AB = 2, area = . The centre joins all 4 sides giving 4 equal triangles, total 16 = square's area.
Answer: A) 4 sq units; four such triangles tile the square of area 16

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