A triangle's base is 14 inches less than 2 times its height. If h represents the height in inches, and the total area of the triangle is 54, which of the following equations can be used to determine the height? A. 7h-h2=54 B. 2h2-14h=54 C. h2-7h=54 D. 14h-2h2=54

A = 1/2 (b*h)

if h = height
then b = 2h - 14

This should be enough for you to try to do the rest.

To solve this problem, we need to set up an equation using the given information and then solve for the height of the triangle.

Let's start by assigning variables to the given information:
Let h represent the height of the triangle in inches.
The base of the triangle is 14 inches less than 2 times its height, which can be expressed as 2h - 14.

The formula for the area of the triangle is given by 1/2 * base * height. In this case, the area is given as 54, so we can set up the equation:

1/2 * (2h - 14) * h = 54

Simplifying the equation, we get:

h(2h - 14)/2 = 54
(h^2 - 7h) / 2 = 54

Now, let's analyze the answer choices to find the equation that matches what we've obtained:

A. 7h - h^2 = 54
The equation in option A does not match our equation, so we can eliminate it.

B. 2h^2 - 14h = 54
The equation in option B matches our equation. This could be the correct answer.

C. h^2 - 7h = 54
The equation in option C does not match our equation, so we can eliminate it.

D. 14h - 2h^2 = 54
The equation in option D does not match our equation, so we can eliminate it.

Therefore, the correct answer is B. 2h^2 - 14h = 54, which can be used to determine the height of the triangle.