Question 378926
  <pre><font size = 3 color = "indigo"><b>
Hi
right triangle, b=9, c=16 
APPLYING THE PYTHAGOREAN THEOREM TO SOLVE FOR a
{{{a^2 + b^2 = c^2}}}
{{{a^2 + 9^2 = 16^2}}}
{{{a^2 = 16^2 - 9^2}}}
{{{a^2 = 256 - 81}}}
{{{a^2 = 175}}}
a = ±{{{sqrt(175)}}}  Note: Negative solution cannot be used for length
a = {{{sqrt(175)}}}
a = {{{sqrt(25*7)}}}
a = {{{5*sqrt(7)}}}, in simplified, radical form