Question

An isosceles right triangle is a right triangle with congruent legs. if the length of each leg is represented by x, what algebraic expression can be used to represent the length of the hypotenuse? complete the explanation for your reasoning and enter the expression.

Answer 1

By the Pythagoras theorem:-

h^2  = x^2 + x^2  
    (where h = hypotenuse)

h^2 = 2x^2

h = sqrt2 x