Consider whether the given angle is obtuse or acute. Then, compare the given side lengths. Finally, if the triangle has at least one solution, use the Law of Sines.
No solution.
Practice makes perfect
Using known measures to find all unknown side lengths and angle measures of a triangle is called solving a triangle. If we are given the measures of two sides and the angle opposite one of them, there is a possibility for either zero, one, or two triangles to be created. Let's start by considering the given angle.
A=131∘
In our case we are given an obtuse angle. Let's consider the different cases that can happen when this type of angle is given.
Let's now consider the given lengths.
a=15andb=32
We have that a<b. Therefore, △ABC has no solution.
Mathleaks uses cookies for an enhanced user experience. By using our website, you agree to the usage of cookies as described in our policy for cookies.
