Solving Non-Right Triangles Using the Law of Sines

This video tutorial teaches how to solve non-right triangles using the Law of Sines. It covers the formula and its application in two cases: when given two sides and one non-included angle, and when given two angles and one side. The tutorial explains how to use cross-multiplication and proportions to find unknown angles and sides, emphasizing the importance of correctly substituting values into the formula.

What is the sum of all interior angles in any triangle?

• 180 degrees

• 90 degrees

• 270 degrees

• 360 degrees

What is an oblique triangle?

• A triangle with one angle greater than 90 degrees

• A triangle with one right angle

• A triangle with all angles less than 90 degrees

• A triangle with no right angles

In the Law of Sines, what does the formula relate?

• The ratio of angles to their opposite sides

• The product of angles and sides

• The sum of angles to the sum of sides

• The difference between angles and sides

In Case 1 of the Law of Sines, what is given?

• Three sides

• Two angles and one side

• Two sides and one non-included angle

• Three angles

How do you find angle A in Case 1 using the Law of Sines?

• By using the tangent function

• By using the cosine rule

• By using the inverse sine function

• By using the Pythagorean theorem

In Case 2 of the Law of Sines, what can you determine if you know two angles?

• The length of the longest side

• The measure of the third angle

• The area of the triangle

• The perimeter of the triangle

What is the approximate value of side d in Case 2?

• 5.15

• 6.00

• 4.00

• 3.17