Final answer:
To solve the equation A=(h(a+b))/(2) for a, multiply both sides by 2 to eliminate the denominator. Then, isolate the term that contains a by subtracting hb from both sides. Finally, divide both sides by h to solve for a.
Step-by-step explanation:
To solve the equation A=(h(a+b))/(2) for a, we can start by multiplying both sides of the equation by 2 to eliminate the denominator. This gives us 2A = h(a+b).
Next, distribute the h to both terms inside the parentheses to get 2A = ha + hb.
Now, isolate the term that contains a by subtracting hb from both sides of the equation: 2A - hb = ha.
Finally, divide both sides of the equation by h to solve for a: a = (2A - hb)/h.