Law of Sines and Triangle Properties

The video tutorial explains how to find the length of side b in a triangle using the law of sines. Given the lengths of side c and angles a and b, the tutorial demonstrates labeling the triangle, calculating the missing angle c, and applying the law of sines to solve for side b. The process involves using trigonometric functions and ensuring calculations are done in degree mode. The final result is rounded to four decimal places.

What is the given length of side c in the triangle?

• 150 units

• 184 units

• 175 units

• 200 units

Which angle is opposite to side a in the triangle?

• Angle A

• Angle B

• Angle C

• None of these

What is the measure of angle C in the triangle?

• 50 degrees

• 83 degrees

• 47 degrees

• 60 degrees

Which law is used to find the length of side b?

• Law of Cosines

• Law of Sines

• Pythagorean Theorem

• Law of Tangents

What is the formula used to relate the sides and angles in the Law of Sines?

• cos(A) = b/c

• a^2 + b^2 = c^2

• sin(A)/a = sin(B)/b = sin(C)/c

• tan(A) = opposite/adjacent

What is the least common denominator used to clear fractions in the equation?

• 50

• 184b

• b

• 184

What is the approximate length of side b after solving the equation?

• 175.6675 units

• 184 units

• 150 units

• 200 units

Why is it important to ensure the calculator is in degree mode?

• To convert units

• To simplify the equation

• To find the hypotenuse

• To get accurate trigonometric values

What is the first step in solving for side b using the Law of Sines?

• Label the triangle

• Find the measure of angle C

• Cross-multiply the equation

• Convert angles to radians

What should be done if the fifth decimal place is 5 when rounding to four decimal places?

• Leave the fourth decimal place unchanged

• Add 0.1 to the result

• Round down the fourth decimal place

• Round up the fourth decimal place