Question 731874
Find side {{{b}}} (one leg) if side {{{a = 8.5in}}} (other leg) and side {{{c = 15in}}} (hypotenuse). 

in a right triangle {{{c^2=a^2+b^2}}} (Pythagorean theorem)


{{{(15in)^2=(8.5in)^2+b^2}}}


{{{(15in)^2-(8.5in)^2=b^2}}}


{{{225in^2-72.25in^2=b^2}}}


{{{152.75in^2=b^2}}}


{{{sqrt(152.75in^2)=b}}}


{{{highlight(12.36in=b)}}}


Question 2. 

{{{a = 5cm}}}
{{{b = 12cm}}}
find: {{{c}}}


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

{{{c^2=(5cm)^2+(12cm)^2}}}

{{{c^2=25cm^2+144cm^2}}}

{{{c^2=169cm^2}}}

{{{c=sqrt(169cm^2)}}}

{{{highlight(c=13cm)}}}