Question

Assume is opposite side a, is opposite side b, and is opposite side c. if possible, solve the triangle for the unknown side. round to the nearest tenth. (if not possible, enter impossible.) = 47.4°, a = 2.17, b = 3.72

Answer 1

To solve the triangle when given the measurements of two sides and one angle, we can use the Law of Sines. This law states that the ratio of the length of a side to the sine of its opposite angle is constant.

Step-by-step explanation:

To solve the triangle when given the measurements of two sides and one angle, we can use the Law of Sines. This law states that the ratio of the length of a side to the sine of its opposite angle is constant. Using this, we can find the unknown side, which in this case is 'c'.

We know that 'a' = 2.17, 'b' = 3.72, and angle A = 47.4°. So we can use the formula:

sin(A)/a = sin(B)/b = sin(C)/c

Substituting the values, we get: sin(47.4°)/2.17 = sin(B)/3.72 = sin(C)/c

Therefore, the unknown side, 'c', can be found by rearranging the equation and solving for 'c'.