Triangle with Radicals

Question

Show that a right triangle with legs of lengths √2 -1and √2 +1 is similar to a right triangle with legs of lengths 6- √32 and 2. 

Answer 1

If similar corresponding parts must be in proportion.

√2 - 1 : 6 - √32 :: √2 + 1 : 2

2(√2 - 1) = (6 - √32)(√2 + 1)    product means/extremes

 

Is that true?