gaokao 2018 Q6

gaokao · China · national-II-science 5 marks Sine and Cosine Rules Find a side length using the cosine rule
In $\triangle A B C$, $\cos \frac { C } { 2 } = \frac { \sqrt { 5 } } { 5 } , B C = 1 , A C = 5$, then $A B =$
A. $4 \sqrt { 2 }$
B. $\sqrt { 30 }$
C. $\sqrt { 29 }$
D. $2 \sqrt { 5 }$
In $\triangle A B C$, $\cos \frac { C } { 2 } = \frac { \sqrt { 5 } } { 5 } , B C = 1 , A C = 5$, then $A B =$

A. $4 \sqrt { 2 }$

B. $\sqrt { 30 }$

C. $\sqrt { 29 }$

D. $2 \sqrt { 5 }$