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Home > CCG > Chapter 9 > Lesson 9.1.4 > Problem 9-48


For each triangle below, solve for , if possible. If no solution is possible, explain why.  

  1. A triangle with side lengths x, and, 10. 80 degrees angle is opposite the side, x. 27 degrees angle is opposite the unknown side.

Which law can you use to solve for ?

, where is the unknown angle.

Use the Law of Sines to find the length of .

  1. A right triangle with a leg of 8 and hypotenuse of 6. Angle x is opposite the side, 8.

Which side is the longest side of this triangle?
Is that possible?

  1. An obtuse triangle where two sides are x, and the base, 5. The angle between them is obtuse. The angle opposite the side, x, is 30 degrees. The base is extended outside the triangle and a line is dropped from the vertex opposite base, 5, perpendicular to the base. That height is, 6.

Find the length of the whole base (including the dotted line). How can you use this to find ?