This Question 1 pt Solve the right triangle shown in the fig

This Question: 1 pt Solve the right triangle shown in the figure a 10.6, b 22.2 a. What is the length of the side? (Round to the nearest hundredth as needed.) CR b. What are the angles? A ound to the nearest tenth as needed.) B L ound to the nearest tenth as needed.) 1 of 20 (0 complete) This Test: 20 pts possible

Solution

a=10.6, b=22.2

c²=a²+b²

c²=10.6²+22.2²

c²= 605.2

c=sqrt605.2= 24.6

Using cosine law

a²=b²+c²-2ac cos A

10.6²=22.2²+24.6²- 2(22.2)(24.6)cos A

1092.24 cos A= 985.64

cos A= 985.64/1092.24

A= 25.5degree

B=180-A-C=180-25.5-90= 64.5 degree