Answer B

Do you remember following rule?

isoscelss triangle rule

= 1:1: √2

= x : x : x √2

= x√2 : x√2 : 2x

then perimeter (P)

= x√2 + x√2 + 2x

= 2x√2 + 2x

Now, apply 16√2 + 16 = 2x√2 + 2x, and solve for x, which would be 8

Now you have all sides of triagles: = 8√2 : 8√2 : 16

In an isosceles right triangle, hypontenuse is the longest of sides

(or in x√2 : x√2 : 2x, whatever is equivalent to 2x), which is 16

hypotenuse is 16

(To double check)

if x = 8,

= x√2 + x√2 + 2x

= 8√2 + 8√2 + 16

= 16√2 + 16

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