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In triangle XYZ, |XY| = 10cm, |YZ| = 9 cm and |XZ| = 7 cm....

Further Mathematics
WAEC 2024

In triangle XYZ, |XY| = 10cm, |YZ| = 9 cm and |XZ| = 7 cm. If XZY = \(\alpha\), find the value of cos \(\alpha\).

  • A. \(\frac{11}{15}\)
  • B. \(\frac{17}{35}\)
  • C. \(\frac{5}{21}\)
  • D. \(\frac{7}{32}\)
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Correct Answer: Option C
Explanation

Using, cos \(\alpha\) = \(\frac{ b^2 + c^2 - a^2}{2bc}\)

cos \(\alpha\) = \(\frac{ 9^2 + 7^2 - (10)^2}{2 \times 9 \times 7}\)

=  \(\frac{ 130 - 100}{126}\) =  \(\frac{30}{126}\) = \(\frac{5}{21}\)


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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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