Law of Sines and Law of Cosines — a Deeper Look

Question 1

Just as you saw Triangle A B D used to create an equation for c2, use Triangle C B D to create an equation for a2. Solve this equation for h2. ✔ h2 = a2 - x2X h2 = a2 + x2x2 = a2 + h2

Revolt · Accepted Answer

✔ h2 = a2 - x2

Question 2

Replace your expression for h2 in c2=h2+b2-2bx+x2.✔ C2 = a2 - x2 + b2 - 2bx + x2c2 = a2 + x2 + b2 - 2bx + x2X c2 = -a2 - x2 + b2 - 2bx + x2

Revolt · Accepted Answer

✔ C2 = a2 - x2 + b2 - 2bx + x2

Question 3

If all of the side lengths of a triangle had a length of 1, what would the simplified law of sines equation be?

Revolt · Accepted Answer

sin A = sin B = sin C

Question 4

Which of the following did you do? Check all of the boxes that apply.

Revolt · Accepted Answer

I substituted 1 for a, b, and c.; I flipped or cross-multiplied to remove the fractions.; I got sin A = sin B = sin C.

Law of Sines and Law of Cosines — a Deeper Look Answers

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