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Home > GC > Chapter 8 > Lesson 8.3.1 > Problem 8-86


For each triangle below, find the value of , if possible. Name the triangle tool that you used. If the triangle cannot exist, explain why.

  1. What special kind of triangle is this? How can this help you find ?

  1. Use the Law of Sines to solve for .

  1. Use the Pythagorean Theorem to find .

    There is no solution, because the hypotenuse must be the longest side.

  1. Area of the shaded region is  square units.

    What is the formula for the area of a triangle?