Question

Can you help me with number 12? Thank you I am having trouble with it.

Answer 1

We will have the following:

First, we find the missing angle:

`A=180-40-49\Rightarrow A=91`

Second, we use the law of sines to calculate the missing sides "a" & "c", so

c:

`(c)/(\sin (40))=(13)/(\sin(49))\Rightarrow c=(13\sin(40))/(\sin(49))`
`\Rightarrow c=11.07212515\ldots`

a:

`(a)/(\sin(91))=(13)/(\sin(49))\Rightarrow a=(13\sin (91))/(\sin (49))`
`\Rightarrow a=17.22254544\ldots`

So:

`p=13+17.22254544+11.07212515\Rightarrow p\approx41`

So, the perimeter of the triangle is approximately 41 units.