A right-angled isosceles triangle has an area of 50 square units. Find its hypotenuse (in units).

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Given that the triangle is right-angled and isosceles, the two legs are equal in length. Let each leg be of length x units.

Area of the triangle = (1/2) * x * x = (1/2) * x^2 = 50  
=> x^2 = 100  
=> x = 10 units

The hypotenuse (h) of a right-angled isosceles triangle is given by h = x√2  
=> h = 10√2 units

Therefore, the hypotenuse is 10√2 units.

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