Question

In triangle GHI, g=53 inches, h=93 inches and

Answer 1

Let's take a look at our triangle:

(Drawing not to scale nor with exact measurements. Just illustrative)

Using the law of cosines, we can say that:

`i^2=h^2+g^2-2gh\cos (91)`

Solving for i ,

`\begin{gathered} i^2=h^2+g^2-2gh\cos (91) \\ \rightarrow i=\sqrt[]{h^2+g^2-2gh\cos (91)} \\ \rightarrow i=\sqrt[]{93^2+53^2-2\cdot93\cdot53\cdot\cos (91)} \\ \Rightarrow i=108 \end{gathered}`

Thereby, we can conclude that:

`i=108\text{ in}`