Practice Questions

 

 

For the triangle below, where two sides and the angle opposite side b are known, solve for the remaining side and angles that are unknown. Side a = 27, side b = 35, and angle B = 48°.

 

 

 

For this Triangle All three sides are known, but Angle A is needed. Side a = 3, side b = 5, and side c = 7. Decide which method is best suited for this and solve for A.

 

 

 

In this case side a = 11, b = 15, and angle C = 88° are known, but you must find side c. Figure out which method you should use and apply it to find the length of side c.

 

 

 

Two angles and only one side of a triangle are known, Angle A = 48°, Angle B = 62°, and side a = 45. Find the missing angle and the two missing sides for the triangle.

 

 

 

Side b of this triangle has a length of 6.5, side c has a length of 8.5, and angle B has a degree measure of 41°. Find all missing information.

 

 

 

 

In a triangle where angle B = 41°, angle C = 51°, and side c = 100, Find the length of side a.

 

 

 

For a triangle with all measurements known except side b, use whichever formula you find easiest to solve for the missing side. Side a = 18, side c = 30, Angle A = 25°, Angle C = 45°, and angle B = 110°.

 

 

8. In a triangle where side a = 8, side b = 5, and Angle A = 35°, find the values for all of the missing sides or angles whichever the case may be by using bith the law of sines and the law of cosines.

 

 

 

 

9. A triangle has two known sides but one one known angle, which is               between the two sides. Side a = 22.1, side c = 17.5, and Angle b = 109. Find all missing information.

 

10.  By applying the Law of Sines and the Law of Cosines, try to figure out the total area of the figure below with the area formula being Area = ½ ab SinC.