Question

Solve the formula for b.

Answer 1

`b=(2V)/(ah)-c`

Explanation:

Given equation:

`V=(1)/(2)a(b+c)h`

Multiply both sides of the equation by 2:

`\implies 2 \cdot V=2 \cdot (1)/(2)a(b+c)h`

`\implies 2V=a(b+c)h`

Divide both sides by ah:

`\implies (2V)/(ah)=(a(b+c)h)/(ah)`

`\implies (2V)/(ah)=b+c`

Subtract c from both sides:

`\implies (2V)/(ah)-c=b+c-c`

`\implies (2V)/(ah)-c=b`

Therefore:

`\implies b=(2V)/(ah)-c`