Triangle Properties and Law of Sines

The video tutorial covers solving a triangle problem using the law of sines. It begins with setting up the problem and correcting given angles. The instructor then converts mixed numbers to decimals for easier calculations. The law of sines is applied to find missing angles and side lengths, with detailed steps on using ratios and cross-multiplication. The tutorial concludes with final calculations and a summary of the results.

What is the first step when given information about a triangle but no diagram?

• Find the perimeter of the triangle

• Convert all angles to radians

• Calculate the area of the triangle

• Draw an oblique triangle

Why is it important to convert mixed numbers to decimals in this problem?

• Decimals are easier to input into a calculator

• Mixed numbers are not allowed in trigonometry

• Mixed numbers are not accurate

• Decimals are easier to understand

How do you convert 3 and 5/8 to a decimal?

• 3.85

• 3.75

• 3.625

• 3.58

What is the sum of the angles in any triangle?

• 270 degrees

• 180 degrees

• 90 degrees

• 360 degrees

Given angles B = 104 degrees and C = 28 degrees, what is angle A?

• 48 degrees

• 52 degrees

• 28 degrees

• 104 degrees

What is the Law of Sines formula?

• a^2 + b^2 = c^2

• a/sin(A) = b/sin(B) = c/sin(C)

• sin(A) = cos(B) + tan(C)

• a + b + c = 180 degrees

How do you find side length b using the Law of Sines?

• b = a * tan(B) / tan(A)

• b = a * sin(A) / sin(B)

• b = a * cos(B) / cos(A)

• b = a * sin(B) / sin(A)

What is the value of side length b if a = 3.625, angle A = 48 degrees, and angle B = 28 degrees?

• 1.85

• 2.29

• 3.65

• 4.73

How do you find side length c using the Law of Sines?

• c = a * sin(A) / sin(C)

• c = a * tan(C) / tan(A)

• c = a * cos(C) / cos(A)

• c = a * sin(C) / sin(A)

What is the value of side length c if a = 3.625, angle A = 48 degrees, and angle C = 104 degrees?

• 3.65

• 1.85

• 2.29

• 4.73