Answer:
h = (S - 2B) / P
Explanation:
The formula for the surface area of a triangular prism is:
S = 2B + Ph
To solve this equation for a given variable, we need to isolate that variable on one side of the equation and simplify.
If we want to solve for h, we can start by subtracting 2B from both sides of the equation:
S - 2B = Ph
Next, we can divide both sides by P:
(S - 2B) / P = h
Therefore, the formula for the height (h) of a triangular prism in terms of its surface area (S), base area (B), and base perimeter (P) is:
h = (S - 2B) / P