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GCE Mathematics 2025 Objective — Question 44

Question 44 of 60 from the General Certificate of Education (GCE) Mathematics 2025 Objective paper, with the correct answer and a full explanation.

Find the value of x in Fig 3.4 (triangle with sides 9cm, 8cm, 6cm, using similar triangles).

A. 5.3cm
B. 6.8cm
C. 12.0cmCorrect

Explanation

Using the ratio x/9 = (x+8)/15: 15x=9(x+8), 15x-9x=72, 6x=72, x=12.0cm.

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