Solving Triangles

Solving Triangles: Level 2 Challenges


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

In the figure, ABC\triangle ABC is an equilateral triangle where AB=6AB = 6 cm. The area of the circumcircle is kπk\pi cm2^{2}. Find the value of kk.

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

In triangle ABCABC, BAC=2ABC \angle BAC = 2 \angle ABC , AB=31,AC=13 AB= 31, AC = 13 . What is BC2BC^2?

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


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