Answer:
3.5
Step-by-step explanation:
We can use the cos rule to solve this type of problem. The cos rule is given by:
[tex]p^2=a^2 + b^2 -2ab CosP[/tex]
Where p is the side opposite of the "in-between" angle given and P is the angle given between 2 sides. Also, a and b are the 2 sides given (adjacent to the angle).
So, here, "p" is what we want to find (smallest side is opposite of smallest angle). And, a and b are 4 & 7 respectively. P is 20 degrees.
Now, using Cos Rule:
[tex]p^2=a^2 +b^2 - 2abCosP\\p^2=4^2+7^2-2(4)(7)Cos20\\p=3.5[/tex]
So, the smallest side, p, is 3.5
