Solve the formula for b.

Question

asked Feb 27, 2023 234k views

1 Answer

NGaffney · Answer 1 · 2023-03-06T18:29:23+0000

Answer:

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:

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