Problem 39
Question
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 \(b\)
Step-by-Step Solution
Verified Answer
The formula for \(b\) is \(b=\frac{2A}{h}\)
1Step 1: 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 \(b\).
2Step 2: 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 \(b=\frac{2A}{h}\).
3Step 3: 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.
Other exercises in this chapter
Problem 39
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