Final answer:
To solve the triangle using the Law of Sines, first sketch the triangle based on the given information. Then, use the Law of Sines equation to find the lengths of the remaining sides by substituting the angle and side values into the equation and solving for the unknown sides.
Step-by-step explanation:
To solve the triangle using the Law of Sines, we first need to sketch the triangle based on the given information. We have angle A = 50°, angle B = 68°, and side c = 230. We can start by drawing a line segment of length 230 units and labeling it as side c. Then, we can measure an angle of 50° at one end of side c and label it as angle A. Next, using a protractor, we can measure an angle of 68° at the other end of side c and label it as angle B. Finally, we can connect the endpoints of side c to complete the triangle.
After sketching the triangle, we can use the Law of Sines to find the lengths of the remaining sides. The Law of Sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant. In this case, we can use the equation: a/sin(A) = c/sin(C) and solve for side a. Substitute the values for angle A, side c, and angle C into the equation and solve for side a.
Similarly, we can use the equation b/sin(B) = c/sin(C) to solve for side b. Substitute the values for angle B, side c, and angle C into the equation and solve for side b. Once we have all three side lengths, we have successfully solved the triangle using the Law of Sines.