Step 1
Draw the triangle
Step 2
State the given parameters
l = ?
n= 8.2 in
m = 2.1 in
Step 3
solve for l to the nearest tenth of an inch
Using the cosine rule we can find the value of l
The cosine rule is given as
[tex]l^2=n^2+m^2-2nm\cos L[/tex]
Substituting the given values into that equation, we have
[tex]l^2=8.2^2+2.1^2-(8.2\times2.1\times\cos \text{ 85)}[/tex][tex]l\text{ =}\sqrt[]{67.24+4.41-(1.50082189)}[/tex][tex]\begin{gathered} l\text{ =}\sqrt[]{70.14917811} \\ l\text{ =8.375510618 inches} \end{gathered}[/tex]
To the nearest tenth of an inch l = 8.4 inches
