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A=1/2(a+b)h solve for h can you please explain as well?

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h = 2A/(a+b)

Step-by-step explanation:

A=1/2(a+b)h

To solve for h, we will make h the subject of formula

The first thing we will do is bring the 1/2 to the other side of the equation:


\begin{gathered} A\text{ = }((a+b)h)/(2)\text{ cross multiply} \\ 2A\text{ = (a+b)h} \end{gathered}

To make h stand alone, we would divide both sides by the values in the bracket:


\begin{gathered} (2A)/((a+b))\text{ = }((a+b)h)/((a+b)) \\ h\text{ = }\frac{2A}{a\text{ + b}} \end{gathered}

Therefore, h = 2A/(a+b)

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