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Chapter 1: Problem 39

Solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? \(A=\frac{1}{2} b h\) for \(b\)

Short Answer

Expert verified
The formula for \(b\) is \(b=\frac{2A}{h}\)

Step by step solution

01

Identifying the Required Variable in the Formula

The area formula for a triangle \(A=\frac{1}{2} b h\) is given. It is already solved for \(A\), but the task is to rearrange it to solve for the base \(b\).
02

Isolating the Variable

To solve for the base \(b\), multiply both sides of the equation by 2 to remove the fraction. This gives \(2A=bh\). Next, divide both sides of the equation by \(h\) to isolate \(b\). This gives the final result \(b=\frac{2A}{h}\).
03

Conclusion

The formula has been successfully rearranged to solve for \(b\). The final formula is \(b=\frac{2A}{h}\). This formula will calculate the base length of a triangle when the area and height are known.

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