csat-suneung 2021 Q10

csat-suneung · South-Korea · csat__math-science 3 marks Sine and Cosine Rules Circumradius or incircle radius computation

In triangle ABC with $\angle \mathrm { A } = \frac { \pi } { 3 }$ and $\overline { \mathrm { AB } } : \overline { \mathrm { AC } } = 3 : 1$, the radius of the circumcircle of triangle ABC is 7. What is the length of segment AC? [3 points]
(1) $2 \sqrt { 5 }$
(2) $\sqrt { 21 }$
(3) $\sqrt { 22 }$
(4) $\sqrt { 23 }$
(5) $2 \sqrt { 6 }$

In triangle ABC with $\angle \mathrm { A } = \frac { \pi } { 3 }$ and $\overline { \mathrm { AB } } : \overline { \mathrm { AC } } = 3 : 1$, the radius of the circumcircle of triangle ABC is 7. What is the length of segment AC? [3 points]\\
(1) $2 \sqrt { 5 }$\\
(2) $\sqrt { 21 }$\\
(3) $\sqrt { 22 }$\\
(4) $\sqrt { 23 }$\\
(5) $2 \sqrt { 6 }$

Paper Questions

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