If the hypotenuse of right angled isosceles triangle is 2, what is the length of each of the other sides?
 

  • A \(\sqrt{2}\)
  • B \(\frac{1}{2}\)
  • C 22
  • D 1
  • E 2 - 1
jamb 1985mathematics

The correct answer is A. \(\sqrt{2}\)

In a right-angled isosceles triangle, the two sides that form the right angle are equal in length. 

Let's call the length of each of these sides x. 

The hypotenuse is given as 2. 

Using the Pythagorean theorem, we have:
\(x^2 + x^2 = 2^2\)

Solving this equation for x, we get:

\(2x^2 = 4\)

\(x^2 = 2\)

So, x = \(\sqrt{2}\).

Therefore, the length of each of the other sides of the right-angled isosceles triangle is \(\sqrt{2}\).

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