Question 108873
a^2+b^2=c^2
a^2+3^2=(2a)^2
a^2+9=4a^2
-4a^2+a^2+9=0
-3a^2+9=0
3a^2-9=0 multiply each side by -1
3(a^2-3)=0
a^2=3
a=sqrt(3), b=3, c=2sqrt(3)
perimeter=sqrt(3)+3+2sqrt(3)
= 3+3sqrt(3)
Always check:
(sqrt(3))^2+3^2=(2sqrt(3))^2
3+9=4*3 true
Ed