The area of a triangle can be found using the formula: A=12hb Solve the area formula for b. (1 point) Responses b=2Ah b is equal to 2 cap A over h b=2(A−h) b is equal to 2 times open paren cap A minus h close paren 12b=Ah 1 half b is equal to cap A over h b=A2h b is equal to cap A over 2 h

1 answer

To solve the area formula for \( b \) from the equation \( A = \frac{1}{2}hb \), we need to isolate \( b \).

Starting with: \[ A = \frac{1}{2} hb \]

First, multiply both sides by 2 to eliminate the fraction: \[ 2A = hb \]

Next, divide both sides by \( h \) to solve for \( b \): \[ b = \frac{2A}{h} \]

Thus, the correct answer is: \[ b = \frac{2A}{h} \]

Alternatively, it can be expressed as: \[ b = 2 \cdot \frac{A}{h} \] Both forms convey the same relationship.