2026 NASS P2 Q7

2026 NASS P2 Q7

Secondary 4
9 marks

The points \(A(-3,4)\), \(B(5,0)\) and \(C(1,-2)\) are joined to form triangle \(ABC\). The perpendicular from \(C\) to \(AB\) meets \(AB\) at \(D\). The point \(E\) lies on \(AB\) produced, such that \(CE=CA\).

  1. Find the coordinates of point \(D\).[4]
  2. Find the coordinates of point \(E\).[3]
  3. Find the area of triangle \(ACE\).[2]

Solution:

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Answer:(a) \(D=(2.6,1.2)\). (b) \(E=(8.2,-1.6)\). (c) 22.4 square units.

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