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Deriving the Law of Cosines Try it Follow these steps to derive the law of cosines. ✓ 1. The relationship between the side
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Deriving the Law of Cosines
Try it
Follow these steps to derive the law of cosines.
✓ 1. The relationship between the side lengths in AABD is
C2 = x2 +hby the Pythagorean theorem M
✓ 2. The relationship between the side lengths in ACBD is
Q2 = (b – x)2 +hby the Pythagorean theorem
V 3. The equation e? = (6 – x)2 + h? is expanded y to become
22 = 62 – 2x + x2 +h?
a
h
✓ 4. Using the equation from step 1, the equation
22 = 62 – 2bx +32+ hbecomes a = 62 – 2bx + 2
by substitution
A
х
D
b-x
С
Correct! You have completed this exercise.
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Mathematics
3 years
2021-07-31T14:31:20+00:00
2021-07-31T14:31:20+00:00 1 Answers
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Answers ( )
Answer:
1 – pythagorean theorem
2- pythagorean theorem
3- expanded
4- substitution
5- cos (A)
6- c
7-c cos(A)
8- rearranging
Step-by-step explanation:
edg 2020