A right-angled triangle has an adjacent of (x + 1) and (x - 1). (a) Find the length of the hypotenuse in terms of x. (b) Explain why the triangle can't be an isoceles triangle.
(a). Using Pythagoras' Theorem, (x + 1)2 + (x - 1)2 = x2 + 2. (b). (x + 1) cannot = (x - 1) for any x.
