Question

The area of a triangle can be found using the formula: A=12hb



Solve the area formula for b.

(1 point)
Responses

12b=Ah
1 half b is equal to cap A over h

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

b=A2h
b is equal to cap A over 2 h

Answer 1

To solve the area formula for \( b \) given the formula for the area of a triangle \( A = \frac{1}{2} h b \), we can manipulate the formula as follows:

1. Start with the formula:
\[
A = \frac{1}{2} h b
\]

2. To isolate \( b \), first multiply both sides by 2:
\[
2A = h b
\]

3. Then, divide both sides by \( h \):
\[
b = \frac{2A}{h}
\]

So, the correct solution is:
\( b = \frac{2A}{h} \)

This matches the option:
**b is equal to 2 cap A over h.**