Respuesta :

Below is the solution. I hope the answer will help. 

Solution:

divide A by h 

A/h=1/2(B+b) 

multiply A/h by 2 

2A/h=B+b 

minus b from A/2b 

(2A/h) - b= B

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Answer:

The solution for the required variable is [tex]h=\frac{2A}{a+b}[/tex]

Step-by-step explanation:

Consider the provided expression.

[tex]A = \frac{h}{2}(a+b)[/tex]

We need to solve the equation for h.

Multiply both the sides by 2.

[tex]2A = 2\times \frac{h}{2}(a+b)[/tex]

[tex]2A =h(a+b)[/tex]

Divide both the sides by a+h.

[tex]\frac{2A}{a+b} =\frac{h(a+b)}{a+b}[/tex]

[tex]h=\frac{2A}{a+b}[/tex]

Hence, the solution for the required variable is [tex]h=\frac{2A}{a+b}[/tex]