Exploring the Law of Sines: AAS & SSA Solutions

What is the relationship between the sides and angles in the Law of Sines?

• Side a - sin(A) = Side b - sin(B) = Side c - sin(C)

• Side a + sin(A) = Side b + sin(B) = Side c + sin(C)

• Side a * sin(A) = Side b * sin(B) = Side c * sin(C)

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

What is the first step in solving for missing sides using the Law of Sines?

• Calculate the missing angle using the sum of angles

• Draw the triangle and label the known values

• Divide each side by its corresponding sine of angle

• Cross multiply the given sides and angles

How do you find a missing angle in a triangle?

• Add the two known angles and subtract from 360

• Multiply the two known angles and subtract from 180

• Add the two known angles and subtract from 180

• Divide the known side by the sine of its opposite angle

How do you determine if a calculator is in the correct mode for solving Law of Sines problems?

• Ensure it is in radian mode

• Ensure it is in degree mode

• Ensure it is in scientific mode

• Ensure it is in graphing mode

What is the correct approach to solve for a side in a triangle using the Law of Sines?

• Cross multiply and then divide by the sine of the given angle

• Divide the side by the sine of the opposite angle

• Multiply the sine of the given angle by the opposite side

• Add the sine of the given angle to the length of the side

In an SSA triangle, how can you find the second possible angle?

• 180 minus the first angle

• 180 minus the sum of the other two angles

• 180 minus the found angle

• Sum of the other two angles minus 180

What does it mean if the sum of two angles exceeds 180 in a triangle?

• The triangle is right-angled

• The triangle is equilateral

• The triangle is valid with two solutions

• The triangle has no solution

How do you find the side opposite the largest angle in a triangle?

• It will be the longest side

• It will be the shortest side

• It is found by adding the other two sides

• It is found by subtracting the smallest side from the sum of the other two sides

What indicates a triangle has no solution in SSA scenarios?

• When the sine of an angle is greater than 1

• When a side is longer than the sum of the other two sides

• When the sine of an angle is less than 0

• When the sum of angles is less than 180

When solving SSA triangles, what indicates the possibility of two solutions?

• If the triangle is right-angled

• If the given side is the hypotenuse

• If the sum of the given angle and the found angle is less than 180

• If the sum of the angles is exactly 180