Given the formula for the area of a triangle, A=12bh , how would you rearrange the formula if you were interested in finding the height of the triangle?(1 point)

Question

Responses

b=2Ah
b equals Start Fraction 2 upper A over h End Fraction

h=Ab2
h equals Start Fraction upper A over Start Fraction b over 2 End Fraction End Fraction

h=A−12b
h equals Start Fraction upper A minus Start Fraction 1 over 2 End Fraction over b End Fraction

h=2Ab

Answer 1

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

1. Start with the formula:
   \( A = \frac{1}{2}bh \)

2. Multiply both sides by 2 to eliminate the fraction:
   \( 2A = bh \)

3. Divide both sides by \( b \):
   \( h = \frac{2A}{b} \)

Thus, the correct rearranged formula for height \( h \) is:
h equals Start Fraction 2 upper A over b End Fraction.

This corresponds to the first response:
b = 2Ah (which appears to be miswritten, the statement should have been \( h = \frac{2A}{b} \)).

In summary, the correct formula for height is \[ h = \frac{2A}{b}. \]