In the diagram, VW//YZ, |WX| = 6cm, |XY| = 16cm, |YZ| = 20cm and |ZX|

MATHEMATICS
WAEC 2015

In the diagram, VW//YZ, |WX| = 6cm, |XY| = 16cm, |YZ| = 20cm and |ZX| = 12cm. Calculate |VX|

  • A. 3cm
  • B. 4cm
  • C. 6cm
  • D. 8cm

Correct Answer: D. 8cm

Explanation

In the diagram, \(\frac{16}{12} = \frac{VX}{6}\) (similar \(\Delta\)s)

VX = \(\frac{16 \times 6}{12}\)

= 8cm



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