Answer:
[tex]\huge \boxed{h=\frac{2A}{a+b} }[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]\displaystyle A=\frac{1}{2} \cdot (a+b) \cdot h[/tex]
Multiplying both sides by 2:
[tex]2A=(a+b) \cdot h[/tex]
Dividing both sides by (a + b):
[tex]\displaystyle \frac{2A}{a+b} =h[/tex]
[tex]\rule[225]{225}{2}[/tex]