Question 650553
An isosceles right triangle therefore has angles of 45 degrees, 45 degrees, and 90 degrees.
; consequently, it has the two legs of same length

use Pythagorean theorem

{{{c^2=a^2+b^2}}}...since {{{a=b}}}, we have

{{{c^2=a^2+a^2}}}

{{{45^2=2a^2}}}

{{{2025=2a^2}}}

{{{2025/2=a^2}}}

{{{1012.5=a^2}}}

{{{a=sqrt(1012.5)}}}

{{{a=31.8198cm}}}, and

{{{b=31.8198cm}}}