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In \(\bigtriangleup\) XYZ, XKZ = 90O, XK = 15cm, XZ = 25cm and YK = 8cm. Find...

Mathematics
JAMB 1985

In \(\bigtriangleup\) XYZ, XKZ = 90O, XK = 15cm, XZ = 25cm and YK = 8cm. Find the area of \(\bigtriangleup\)XYZ

  • A. 190 sq.cm
  • B. 20 sq.cm
  • C. 210 sq.cm
  • D. 160sq.cm
  • E. 320sq.cm
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Correct Answer: Option C
Explanation

By Pythagoras, KZ2 = 252 - 52

KZ2 = (25 + 15)(25 - 15) = 400

KZ = \(\sqrt{400}\) = 20

area of XYZ = \(\frac{1}{2} \times 28 \times 15\)

= 210 sq. cm

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