Question 463678
shorter length = a
longer length = b
diagonal = c
use Phytagoras theorem:
{{{a^2 + b^2 = c^2}}}
{{{a^2 + 30^2 = 34^2}}}
{{{a^2 + 900 = 1156}}}
{{{a^2 = 1156 - 900}}}
{{{a^2 = 256}}}
{{{a = sqrt(256)}}}
a = 16


so the shorter length = 16