Triangle Area Formula: Finding Height X When Area = 16 and Base = 4

To solve this problem, we need to find the value of $x$, given that the area of the triangle is 16 and the base is known to be 4.

• Step 1: Identify known values.
  We know the area $A = 16$ and base $b = 4$.
• Step 2: Apply the triangle area formula:
  $A = \frac{1}{2} \times b \times h$, where $h$ is the height we need to calculate.
• Step 3: Solve for height $x$.
  Substitute values into the formula: $16 = \frac{1}{2} \times 4 \times x$.
• Step 4: Perform the necessary calculations:
  Simplify the equation: $16 = 2 \times x$.
  Divide both sides by 2 to solve for $x$.

The calculation simplifies to $x = 8$.

Therefore, the solution to the problem is $x = 8$.