Solving Triangles: Level 2 Challenges Practice Problems Online

If the angles of a triangle are in the ratio $4:1:1,$ then the ratio of the longest side to the perimeter is $\text{\_\_\_\_\_\_\_\_\_\_}.$

In the figure, $\triangle ABC$ is an equilateral triangle where $AB = 6$ cm. The area of the circumcircle is $k\pi$ cm $^{2}$ . Find the value of $k$ .

If $CD=\sqrt{3},$ $PQ=2,$ and $\angle PDQ=30^\circ,$ find $CP.$

In triangle $ABC$ , $\angle BAC = 2 \angle ABC$ , $AB= 31, AC = 13$ . What is $BC^2$ ?

If $AP = AC + 2\cdot CB$ , what is the measure $\angle ABP$ in degrees?

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Solving Triangles: Level 2 Challenges