Question

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

Answer 1

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.