Question

Solve for b in the mathematical formula A =
1
2
bh.

Answer 1

b in terms of A and h will be:

`\boxed{ \rm{b = (2A)/(h) }}`

Explanation:

This is basically the formula for finding the area(A) of the triangle in terms of b and h. We have to solve for b in terms of A and h.

`\rm{A = (1)/(2) bh}`

Multiplying 2 in the LHS. This is shift because inverse of division is multiplication.

`\rm{2A = bh}`

Dividing h from both sides,

`\rm{b = (2A)/(h) }`

And we are done! :D

Answer 2

`\rm b = (2A )/(h)`

Explanation:

`\rm Solve \: for \: b: \\ \rm \longrightarrow A = (1)/(2) bh \\ \\ \rm A = (bh)/(2) \: is \: equivalen t \: to \: (bh)/(2) = A: \\ \rm \longrightarrow (bh)/(2) = A \\ \\ \rm Divide \: both \: sides \: by \: (h)/(2) : \\ </p><p> \rm \longrightarrow (bh)/(2) / (h)/(2) = A / (h)/(2) \\ \\ \rm \longrightarrow (bh)/(2) * (2)/(h) = A * (2)/(h) \\ \\ \rm (bh)/(2) * (2)/(h) = b : \\ \rm \longrightarrow b = (2A )/(h)`