Deriving the Law of Cosines Try it Follow these steps to derive the law of cosines. ✓ 1. The relationship between the side

Question

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.
b

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RI SƠ 3 years 2021-07-31T14:31:20+00:00 1 Answers 144 views 0

Answers ( )

    2
    2021-07-31T14:32:29+00:00

    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

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