Question
A right-angled isosceles triangle has an area of 50
square units. Its hypotenuse is (in units):Solution
Let the legs of the right-angled isosceles triangle be x units each. The area is given by 12 × x × x = 50 ⟹ x²/2 = 50 ⟹ x² =100 ⟹ x = 10 The hypotenuse = x2 + x2 = √2x2 = √(2 × 100) = √200 = 10√2
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