Suppose a triangle has two sides of length 2 and 3 and that the angle between these two sides is 60°. what is the length of the third side of the triangle?
a. /3
b. /7
c. 2 /3
d. 2

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

where A is the angle between the side b and c

Length cannot be negative

∴

Option B is correct.

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.