Question

the equation for the area of a triangle is $a = \frac{1}{2}bh$. solve the equation for $b$.\
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$b = \frac{2a}{h}$\
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$b = h - 2a$\
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$b = 2ha$\
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$b = \frac{h}{2a}$

Explanation:

Step1: Multiply both sides by 2

$$\begin{align*} A&=\frac{1}{2}bh\\ 2A&=bh \end{align*}$$

Step2: Divide both sides by h

$$\begin{align*} \frac{2A}{h}&=\frac{bh}{h}\\ \frac{2A}{h}&=b \end{align*}$$

Answer:

A. \(b = \frac{2A}{h}\)