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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, left side labeled, x, & bottom side labeled, 5, the angle between them is obtuse, right bottom angle is 30 degrees. The bottom side is extended outside the triangle, & a perpendicular dashed segment from the top vertex to the bottom side is labeled 6.

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