Anonymous
Anonymous asked in Science & MathematicsMathematics · 2 months ago

19. Suppose a triangle with area 6 has sides of lengths 3 and 8. Find the angle between those two sides.?

Precalc

1 Answer

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  • 2 months ago

    When you have a triangle with two sides (a and b) and the included angle (C), the formula for the area is:

    Area = ab sin(C) / 2

    Plug in your values:

    Area = 6

    a = 3

    b = 8

    6 = 3*8 sin(C)/2

    12 = 24 sin(C)

    sin(C) = 0.5

    C = arcsin(0.5)

    C = 30° or 150°

    Answer:

    There are two equally valid answers.

    C is 30° or 150°

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