Question

Given the formula for the area of a triangle, A=1/2bh
, what operations would you use to isolate the base of the triangle?

Answer 1

To isolate the base \( b \) in the formula for the area of a triangle, given by \( A = \frac{1}{2}bh \), you can follow these steps:

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

2. **Divide both sides by \( h \)** to solve for \( b \):
\[
b = \frac{2A}{h}
\]

Now, \( b \) is isolated, giving you the base in terms of the area \( A \) and the height \( h \).