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If the hypotenuse of a right-angle isosceles triangle is 2, what is the length of...

Mathematics
WAEC 1996

If the hypotenuse of a right-angle isosceles triangle is 2, what is the length of each of the other side?

  • A. 1/√2
  • B. √2 - 1
  • C. 1
  • D. √2
  • E. √3
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Correct Answer: Option D
Explanation

An Isosceles Right Triangle is a right triangle that consists of two equal length legs.

i.e opp = adj

hyp\(^2\) = adj\(^2\) + opp\(^2\)

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

4 = 2x\(^2\)

2 = x\(^2\)

 √2 = x


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