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6 March, 20:49

Given a triangle with b = 10, c = 11, and A = 43°, what is the length of a? Round to the nearest tenth.

7.2

8.8

7.8

8.4

+5
Answers (1)
  1. 7 March, 00:44
    0
    Length of side a is 7.8

    Option C is correct

    Step-by-step explanation:

    Given b=10, c=11 and A = 43°, we need to find the length of a.

    Using the Law of Cosines

    a^2 = b^2+c^2-2bccosA

    a^2 = (10) ^2 + (11) ^2-2 (10) (11) (cos 43°)

    a^2 = 100+121-2 (110) (0.7313)

    a^2=100+121-160.886

    a^2=221-160.886

    a^2=60.114

    a=√60.114

    a = 7.75

    a≈ 7.8

    So, length of side a is 7.8

    Option C is correct
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