Respuesta :

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]

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