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

1 answer

To rearrange the formula for the area of a triangle \( A = \frac{1}{2}bh \) to solve for the height \( h \), 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. Divide both sides by \( b \) to isolate \( h \): \[ h = \frac{2A}{b} \]

So, the correct rearranged formula for height \( h \) is:

\[ h = \frac{2A}{b} \]

Thus, the response is: h = \(\frac{2A}{b}\).