How do you solve ssa triangles

We know that the sine of an obtuse angle is the sine of its supplement. But since a is smaller than b , it can "swing" to the left of h and create a second triangle containing an obtuse angle. Situation 3: Exactly ONE triangle exists. NOTE: The re-posting of materials in part or whole from this site to the Internet is copyright violation and is not considered "fair use" for educators.

Please read the " Terms of Use ". Ambiguous Case. No triangle can have two obtuse angles. SSA - Two sides and the non-included angle are given. No triangle exists in this problem. In this triangle, we know that side a is 8 inches long, and side b is 6 inches long.

We also know that angle A is 50 degrees. We can use the Law of Sines to find either one of the unknown angles in the triangle. The Law of Sines states these ratios are equal:. Since we have no information about side c or Angle C at this point, we can ignore them. Using algebra, we can rewrite the equation as. So now we know that the sine of angle B is equal to. Use the Law of Cosines to calculate the unknown side. Use the Law of Sines to find the unknown angle opposite the shorter side or use the Law of Cosines to find one of the unknown angles.

How to solve SSS Triangles? SSS side-side-side means that we are given three sides. Use the Law of Cosines to calculate one of the unknown angle. Use the Law of Cosines again to find the other angle.