Question

Identify the height of a triangle in which b=12 m and A=(18x−6) m^2. SHOW YOUR WORK!!!

Answer 1

`3x-1`

Explanation:

The formula to find the area of a triangle:

`A = (bh)/(2)`

Here,
`A` is the area,
`b` is the base and
`h` is the height.

However, we are looking for height, so let's rearrange the equation for
`h`:

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

Now we know the formula to find the height, let's do so:

`h = (2(18x-6))/(12)\\\\h = (36x-12)/(12)\\\\h = 3x - 1`

Therefore, our final answer is
`3x-1`.