a/b=3/4
4a/3=b
S=a*a=a<span>^2</span>
a<span>^2+b<span>^2=100</span></span>
<span><span>a<span>^2+(4a/3)<span>^2=100</span></span></span></span>
<span><span><span><span>a<span>^2+16a<span>^2/9=100</span></span></span></span></span></span>
<span><span><span><span><span><span>9a<span>^2+16a<span>^2=900</span></span></span></span></span></span></span></span>
<span><span><span><span><span><span><span><span>25a<span>^2=900</span></span></span></span></span></span></span></span></span>
<span><span><span><span><span><span><span><span><span>a<span>^2=36</span></span></span></span></span></span></span></span></span></span>
<span><span><span><span><span><span><span><span><span><span>a=6</span></span></span></span></span></span></span></span></span></span>
<span><span><span><span><span><span><span><span><span><span>b=8</span></span></span></span></span></span></span></span></span></span>