in triangle ABC, if the length of side b is 3 centimeters and the measures of angle B and angel C are 45⁰ and 60⁰, respectively, what is the length of side c to two decimal places

Use the law of sines to get this answer

b/sin(B) = c/sin(C)

c/sin(C) = b/sin(B)

c/sin(60) = 3/sin(45)

c = sin(60)*( 3/sin(45) )

c = 3.6742346 approximately

c = 3.67 rounding to nearest hundredth

Make sure your calculator is in degree mode.

Step-by-step explanation:

We have been given a sum . We are asked to rewrite this sum using distributive property and greatest common factor.

First of all, we will find greatest common factor of 72 and 60.

Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

We can see that the greatest common factor of 72 and 60 is 12.

We can rewrite our given sum as:

Upon factoring out 12, we will get:

Therefore, our required expression is .