Question

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

Answer 1

Answer:

$3x-1$

Step-by-step explanation:

The formula to find the area of a triangle:

$A = \frac{bh}{2}$

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 $h$:

$A = \frac{bh}{2}\\2A = bh\\h = \frac{2A}{b}$

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

$h = \frac{2(18x-6)}{12}\\\\h = \frac{36x-12}{12}\\\\h = 3x - 1$

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