Answer:
\(\text{The length of third side is }\sqrt7 units\)
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
\(a^2=b^2+c^2-2bc\cosA\)
where A is the angle between the side b and c
\(a^2=2^2+3^2-2(2)(3)\cos60\)
\(a^2=4+9-6=7\)
\(a=\pm\sqrt7\)
Length cannot be negative
∴ \(a=\sqrt7 units\)
Option B is correct.
