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 h=2Ab h equals Start Fraction 2 upper A over b End Fraction h=Ab2 h equals Start Fraction upper A over Start Fraction b over 2 End Fraction End Fraction b=2Ah b equals Start Fraction 2 upper A over h End Fraction h=A−12b

1 answer

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

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

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

Response: \( h = \frac{2A}{b} \)