Answer:
[tex]\text{The length of third side is }\sqrt7 units[/tex]
Step-by-step explanation:
Given that a triangle has two sides of length 2 and 3 and that the angle between these two sides is 60°.
Let b=2 units and c=3 units
we have to find the length of the third side of the triangle.
By law of cosines
[tex]a^2=b^2+c^2-2bc\cosA[/tex]
where A is the angle between the side b and c
[tex]a^2=2^2+3^2-2(2)(3)\cos60[/tex]
[tex]a^2=4+9-6=7[/tex]
[tex]a=\pm\sqrt7[/tex]
Length cannot be negative
∴ [tex]a=\sqrt7 units[/tex]
Option B is correct.
