Given the formula for the area of a triangle, A=12bh , which equation best represents the remaining units when justifying your rearrangement to solve for the height?(1 point)

Question

Responses

cm=cm
cm equals cm

cm2=cm2
cm squared equals cm squared

2 cm=cm
2 cm equals cm

cm2cm=cm

Answer 1

To rearrange the formula for the area of a triangle, \( A = \frac{1}{2}bh \), to solve for the height \( h \), you can start with the formula:

1. Multiply both sides by 2 to eliminate the fraction: \[ 2A = bh \]

2. Then, to isolate \( h \), divide both sides by \( b \): \[ h = \frac{2A}{b} \]

In this rearrangement, the area \( A \) is measured in square centimeters (\( \text{cm}^2 \)), while the base \( b \) is in centimeters (\( \text{cm} \)).

Thus, when considering units in the equation \( 2A = bh \):

• The left side, \( 2A \), has units of \( \text{cm}^2 \) since you are multiplying area by a scalar.
• The right side \( bh \) has units of \( \text{cm} \times \text{cm} = \text{cm}^2 \).

The correct response that represents the remaining units when justifying the rearrangement is: \[ \text{cm}^2 = \text{cm}^2 \]

So the best answer is: cm²=cm² (cm squared equals cm squared).