Find the missing side of a oblique triangle using law of sines

The video tutorial explains how to find missing lengths and angles in a triangle using the law of sines. It begins with an introduction to the problem of missing lengths, followed by a detailed explanation of solving for side B using the law of sines. The tutorial then covers calculating angle A using basic geometry principles and concludes with solving for side A, again using the law of sines. The instructor emphasizes the importance of using exact answers rather than rounded ones and provides step-by-step guidance on using a calculator for these calculations.

What is the primary method used to find missing lengths in a triangle when given an angle and its opposite side?

• Law of Cosines

• Law of Sines

• Pythagorean Theorem

• Trigonometric Ratios

When solving for side B, why is it suggested to avoid cross multiplication?

• It is more complex

• It is unnecessary

• It requires additional tools

• It leads to incorrect results

What is the significance of using parentheses when entering calculations into a calculator?

• To ensure correct order of operations

• To make the calculation look neat

• To save time

• To avoid syntax errors

How do you calculate the third angle in a triangle if two angles are known?

• Divide the two angles

• Add the two angles and subtract from 360

• Multiply the two angles

• Add the two angles and subtract from 180

Which angle is calculated as 180 degrees minus 24 degrees minus 102 degrees?

• Angle A

• Angle D

• Angle B

• Angle C

Why is it important to use exact values instead of rounded values when solving for side A?

• To make the process faster

• To simplify calculations

• To avoid using a calculator

• To ensure accuracy

What is the result of multiplying 46 by the sine of 54 degrees and dividing by the sine of 102 degrees?

• 19.128

• 36.46

• 38

• 54