An introduction into the law of sines

The video reviews right triangle concepts, including labeling, the Pythagorean theorem, and trigonometric functions. It then transitions to non-right triangles, introducing the law of sines for solving side lengths and angles.

What is the Pythagorean theorem used for in right triangles?

• To find the length of the hypotenuse

• To determine the measure of an angle

• To label the sides of a triangle

• To calculate the area of a triangle

Which trigonometric function is defined as the ratio of the opposite side to the hypotenuse?

• Sine

• Secant

• Tangent

• Cosine

How do you calculate the area of a right triangle?

• One half length times width

• Length times width

• One half base times height

• Base times height

In trigonometry, what does the term 'adjacent side' refer to?

• The side opposite the angle

• The side opposite the hypotenuse

• The side next to the angle

• The longest side of the triangle

What is a key difference when dealing with non-right triangles compared to right triangles?

• New methods are needed to solve for sides and angles

• Trigonometric functions are not applicable

• The Pythagorean theorem can still be used

• The labeling of sides and angles changes

What is the Law of Sines used for?

• To find the area of a triangle

• To solve for sides and angles in non-right triangles

• To calculate the hypotenuse in right triangles

• To determine the perimeter of a triangle

Which of the following is the correct expression for the Law of Sines?

• a^2 + b^2 = c^2

• a/sinA = b/sinB = c/sinC

• sinA = a/c

• cosA = b/c