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Two angles of a triangle are 45º each and its longest side is 12cm. Find the...

Mathematics
NECO 2004

Two angles of a triangle are 45º each and its longest side is 12cm. Find the length of one of the other sides

  • A. 12cm
  • B. 9\(\sqrt{2}\)cm
  • C. 6\(\sqrt{2}\)cm
  • D. 6cm
  • E. 3\(\sqrt{2}\)cm
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Correct Answer: Option C
Explanation

Two angles of a triangle are 45º each and its longest side is 12cm, this simply describes an isosceles triangle

two equal angles and two equal sides

using Pythagoras theorem,

\(x^2 + x^2 = 12^2\)

 \(2x^2\) = 144

\(x^2\) = 72( after dividing b/sides by 2)

x = \(\sqrt{72} = 6\sqrt{2}\)cm.


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