Question

Given the formula for the area of a triangle, A=1/2bh
, how would you rearrange the formula if you were interested in finding the height of the triangle?

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 follow these steps:

1. Start with the original formula:
\[
A = \frac{1}{2}bh
\]

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

3. Now, to solve for \( h \), divide both sides by \( b \) (assuming \( b \neq 0 \)):
\[
h = \frac{2A}{b}
\]

So, the rearranged formula to find the height \( h \) of the triangle is:
\[
h = \frac{2A}{b}
\]