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Chapter 6: Problem 45

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 base length (b) of a triangle as a function of the area (A) and the height (h) is \(b=\frac{2A}{h}\). This is derived from the formula for the area of a triangle.

Step by step solution

01

Identify the formula

The given formula is \(A=\frac{1}{2} b h\), which is the formula for the area of a triangle.
02

Isolate \(b\)

To isolate \(b\), we need to get rid of \(\frac{1}{2}h\) on the right side of the equal sign. We can do this by multiplying both sides of the equation by \(\frac{2}{h}\). This will result in: \(b=\frac{2A}{h}\).
03

Verify the result

Now, \(b=\frac{2A}{h}\). This means the base length (b) of a triangle can be calculated if we know the area (A) and the height (h).

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