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In the triangle XYZ , XM is the altitude from X to YZ.XY = 13cm,...

Mathematics
WAEC 1997
In the triangle XYZ , XM is the altitude from X to YZ.XY = 13cm, XZ = 15cm and YM = 5cm. Find the length of YZ
  • A. 9cm
  • B. 12cm
  • C. 14cm
  • D. 19.85cm
  • E. 23cm
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Correct Answer: Option C
Explanation
XM = √132 - 52 = 12cm

MZ = 152 - 122 = 9cm
YZ = 9 + 5 = 14cm
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