Law of Cosines calculator SSS

The video tutorial covers the process of solving triangles using the laws of sines and cosines. It begins with a discussion on selecting angles in triangles, particularly focusing on acute and obtuse angles. The tutorial then explains the law of sines, including how to handle ambiguous cases. Following this, the law of cosines is introduced and applied to solve for unknown angles and sides in triangles. The instructor provides a detailed walkthrough of calculations, emphasizing the importance of accuracy and verification of results. The session concludes with a review of the solutions to ensure they meet geometric principles.

Why is it suggested to start with an acute angle when drawing a triangle?

• It makes the triangle look symmetrical.

• It avoids the need for a protractor.

• It ensures the triangle is equilateral.

• It simplifies the calculations.

What is the ambiguous case in the Law of Sines?

• When two sides are equal.

• When the given angle could be either acute or obtuse.

• When an angle is obtuse.

• When the triangle is right-angled.

Why is it unnecessary to check for another obtuse angle if one is already identified?

• Because it ensures the triangle is right-angled.

• Because it makes the triangle equilateral.

• Because it simplifies the calculations.

• Because a triangle can only have one obtuse angle.

What is the formula used to solve for angle C using the Law of Cosines?

• cos(C) = (b^2 + c^2 - a^2) / (2bc)

• cos(C) = (a^2 + c^2 - b^2) / (2ac)

• cos(C) = (a^2 + b^2 - c^2) / (2ab)

• cos(C) = (c^2 + a^2 - b^2) / (2ca)

What is the preferred method for entering calculations into a calculator according to the transcript?

• Typing everything at once.

• Typing step by step.

• Using a scientific calculator.

• Using a graphing calculator.

What is the next step after finding angle C using the Law of Cosines?

• Verify the triangle is right-angled.

• Find angle B using the Law of Sines.

• Find angle A using the Law of Sines.

• Check if the triangle is equilateral.

How is angle A calculated using the Law of Sines?

• By using the formula sin(A) = a / sin(C)

• By using the formula sin(A) = sin(B) / a

• By using the formula sin(A) = sin(C) / a

• By using the formula sin(A) = a / sin(B)

What should be done to ensure the accuracy of the calculated angles?

• Check if all sides are equal.

• Check if the triangle is isosceles.

• Check if all angles add up to 180 degrees.

• Check if the triangle is right-angled.

What is the significance of the largest angle in a triangle?

• It is always 90 degrees.

• It is always equal to the smallest angle.

• It is always less than 90 degrees.

• It corresponds to the largest side.

What is the final step in verifying the solution of a triangle?

• Ensure all sides are equal.

• Ensure the triangle is right-angled.

• Ensure the largest angle has the largest side.

• Ensure the triangle is equilateral.