Triangle Properties and Calculations

The video tutorial explains how to solve a triangle given one side and two angles. It starts by labeling the triangle's vertices and sides, then calculates the third angle using the sum of interior angles. The Law of Sines is applied to find the lengths of the remaining sides, C and B, using the known side and angles. The tutorial concludes with the complete solution of the triangle, providing all side lengths and angle measures.

What is the first step in solving a triangle when given one side and two angles?

• Calculate the area of the triangle

• Determine the type of triangle

• Label the vertices and sides

• Find the perimeter of the triangle

How do you find the third angle of a triangle if two angles are known?

• Add the two known angles

• Divide the sum of the two known angles by 2

• Multiply the two known angles

• Subtract the sum of the two known angles from 180 degrees

What is the sum of the interior angles of a triangle?

• 270 degrees

• 180 degrees

• 360 degrees

• 90 degrees

What mathematical law is used to find the length of side C?

• Pythagorean Theorem

• Law of Sines

• Triangle Inequality Theorem

• Law of Cosines

What is the approximate length of side C in meters?

• 11.3 meters

• 30 meters

• 7 meters

• 16.8 meters

What is the relationship between a side and its opposite angle in a triangle?

• The side is always shorter

• The side is always longer

• The side is equal to the angle

• The side is proportional to the sine of the angle

What is the next step after finding the length of side C?

• Check if the triangle is right-angled

• Calculate the area of the triangle

• Determine the length of side B

• Find the perimeter of the triangle

Which angle's sine is used in the proportion to find side B?

• Angle B

• Angle A

• Angle D

• Angle C

What is the approximate length of side B in meters?

• 7 meters

• 11.3 meters

• 16.8 meters

• 30 meters

What is the final step in solving the triangle?

• Verify the triangle is equilateral

• Ensure all sides and angles are determined

• Calculate the area of the triangle

• Check if the triangle is isosceles