Answer:
[tex]h=\frac{5}{6b}(A^2-a)[/tex]
Step-by-step explanation:
we have
[tex]a=A^2-3(\frac{2}{5}bh)[/tex]
Solve for h
To "solve" means to find the value of a variable for which this equation is true
so
Isolate the variable h
Multiply by -1 both sides
[tex]-a=-A^2+3(\frac{2}{5}bh)[/tex]
Adds A^2 both sides
[tex]A^2-a=\frac{6}{5}bh[/tex]
Multiply both sides by 5/6
[tex]\frac{5}{6}(A^2-a)=bh[/tex]
Divide by b both sides
[tex]h=\frac{5}{6b}(A^2-a)[/tex]
