Question

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) Responses cm2cm=cm Start Fraction cm squared over cm End Fraction equals cm 2 cm=cm 2 cm equals cm cm2=cm2 cm squared equals cm squared cm=cm

Answer 1

To rearrange the formula for the area of a triangle, \( A = \frac{1}{2}bh \), to solve for the height \( h \), we would follow these steps:

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

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

Now, let's justify the units involved:

- The area \( A \) is measured in square centimeters (\( cm^2 \)).
- The base \( b \) is measured in centimeters (\( cm \)).

When rearranging the equation to solve for height \( h \), the units on the right side will be:

\[
h = \frac{2A}{b} \implies h = \frac{2 \cdot cm^2}{cm} \implies h = cm^2 / cm
\]

Simplifying the units \( cm^2 / cm \) gives:

\[
h = cm
\]

Thus, the equation that best represents the remaining units is:

\[
\frac{cm^2}{cm} = cm
\]

This means that the best response from your options would be:

**Start Fraction cm squared over cm End Fraction equals cm**