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7 November, 05:48

Solve the following triangles:

A = 21 degrees a = 10 b = 6

A = 48 degrees a = 32 b = 6

Find the area and perimeter of the two trianlgles formed in question 1.

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  1. 7 November, 06:01
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    1.1) B=12.42°, C=146.58°, c=15.37

    1.2) B=8°, C=124°, c=35.7

    2.1) Perimeter = 31.37 units, Area = 16.5 square units

    2.2) Perimeter = 73.70 units, Area = 75.6 square units

    Step-by-step explanation:

    2.1) Perimeter: P = a+b+c → P = 10+6+15.37 → P = 31.37

    Area: A = a b sinC / 2

    Replacing the known values:

    A = (10) (6) sin 146.58325418° / 2 → A = 60 (0.55072472) / 2 →

    A = 16.52174152 → A = 16.52 square units

    2.2) Perimeter: P = a+b+c → P = 32+6+35.70 → P=73.70

    Area: A = a b sin C / 2

    Replacing the known values:

    A = (32) (6) sin 123.99036327° / 2 → A = 192 (0.82913161) / 2 →

    A = 75.59663485 → A = 75.6 square units
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