Change the formula to make a the subject of a=h/2(a+b)
3 answers
a = 2h / (2 + h/b)
Show working out
To make "a" the subject of the formula a = h / 2(a + b), we can follow these steps:
1. Multiply both sides of the equation by 2(a + b) to eliminate the denominator on the right side:
2(a + b) * a = 2(a + b) * (h / 2(a + b))
2a(a + b) = h
2. Expand the left side of the equation:
2a^2 + 2ab = h
3. Rearrange the equation to isolate "a" on one side:
2a^2 = h - 2ab
a^2 = (h - 2ab) / 2
4. Solve for "a" by taking the square root of both sides:
a = sqrt((h - 2ab) / 2)
Therefore, the formula for a in terms of h, a, and b is:
a = sqrt((h - 2ab) / 2)
1. Multiply both sides of the equation by 2(a + b) to eliminate the denominator on the right side:
2(a + b) * a = 2(a + b) * (h / 2(a + b))
2a(a + b) = h
2. Expand the left side of the equation:
2a^2 + 2ab = h
3. Rearrange the equation to isolate "a" on one side:
2a^2 = h - 2ab
a^2 = (h - 2ab) / 2
4. Solve for "a" by taking the square root of both sides:
a = sqrt((h - 2ab) / 2)
Therefore, the formula for a in terms of h, a, and b is:
a = sqrt((h - 2ab) / 2)