In the formula A = 1/2 b x h, how can you solve for height (h)?

In the formula A = 1/2 b x h, how can you solve for height (h)?

• A. 1/2 A / b
• B. 2 A / b
• C. 1/2 A b
• D. 2 A b

Answer: (B)

To solve for height (h) in the formula A = 1/2 b x h, you can start by isolating h on one side of the equation. The formula states that the area (A) of a triangle is equal to one half of the base (b) multiplied by the height (h). First, to eliminate the fraction, multiply both sides of the equation by 2, resulting in: 2A = b x h. Next, to isolate h, you need to divide both sides by b: h = 2A / b. This mathematical manipulation shows that the correct method to find height when the area and base are known is by using the formula 2A divided by b. This understanding reinforces that in equations, you can rearrange terms through algebraic operations like multiplication and division to isolate the variable of interest, in this case, height (h). Therefore, the correct choice accurately reflects this rearrangement of the original area formula.

To solve for height (h) in the formula A = 1/2 b x h, you can start by isolating h on one side of the equation. The formula states that the area (A) of a triangle is equal to one half of the base (b) multiplied by the height (h).

First, to eliminate the fraction, multiply both sides of the equation by 2, resulting in:

2A = b x h.

Next, to isolate h, you need to divide both sides by b:

h = 2A / b.

This mathematical manipulation shows that the correct method to find height when the area and base are known is by using the formula 2A divided by b.

This understanding reinforces that in equations, you can rearrange terms through algebraic operations like multiplication and division to isolate the variable of interest, in this case, height (h). Therefore, the correct choice accurately reflects this rearrangement of the original area formula.