2025 SMBSS P2 Q5

2025 SMBSS P2 Q5

Secondary 4
7 marks

In triangle \(XYZ\), angle \(XYZ=90^\circ\), \(YZ=(4-\sqrt3)\) cm and \(XY=(4\sqrt3+1)\) cm.

  1. Find the area of triangle \(XYZ\), leaving your answer in the form \(a\sqrt3-b\) where \(a\) and \(b\) are constants.[3]
  2. Find the length of \(XZ\), giving your answer in the simplest exact form.[4]

Solution:

Solution locked

Sign in to view the step-by-step solution

Similar questions are unavailable for this question.
Answer:(a) \(\left(\dfrac{15}2\sqrt3-4\right)\text{ cm}^2\). (b) \(2\sqrt{17}\text{ cm}\).

Need help? Join our JC Math tuition classes.

Learn more