24.8k views
2 votes
What is the length of side c if side A is 7 and side b is 9 and angle c is 79​

User Sandman
by
5.8k points

1 Answer

11 votes

Answer:

C is approximately 10.3

Explanation:

To get the length of c, we use the cosine rule

This is;

The square of the missing side is equal the sum of the squares of the other sides minus 2 multiplied by the product of the two other sides and the cos of the angle facing the missing side

We have this as;

c^2 = 7^2 + 9^2 - 2(7)(9) * Cos 79

c^2 = 49 + 81 - 126 cos 79

c^2 = 130 - 24.042

c^2 = 105.96

c = √105.96

c = 10.29 which is approximately 10.3

User Massisenergy
by
6.1k points