We know that the length of a side is 14m and that the measure of its opposite angle is 44^(∘). We also know that the angle that is opposite to the length of the side we want to find is 53^(∘). With this information and using the Law of Sines, we can write an equation in terms of x.
sin 44/14=sin 53/x
Let's solve our equation!
We can find the third interior angle using the Triangle Angle Sum Theorem.
∠ B=180- 53- 44= 83^(∘)
Consider the triangle with the new information.
We know that the length of a side is 14m and that the measure of its opposite angle is 44^(∘). We want to find the length of the side that is opposite to the angle whose measure is 83^(∘). We can use the Law of Sines again!
sin 44/14=sin 83/y
Let's solve the above equation for y using the Cross Product Property.
