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Math

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Triangle RST, RS = 30 centimeters, measure of angle T = 105, and measure of angle R = 40. Find the area of triangle RST, to the nearest square centimeter.

  • Math -

    Angle S is 35 degrees. (180-105-40)
    Side ST's length, which I will call r, can be obtained from the law of sines.
    30/sin 105 = r/sin 40 = 31.058
    Therefore r = 19.96

    The height measured from base RS is:
    19.96 sin 35 = 11.45

    Tha triangle area is
    (1/2)(base)(height) = (0.5)*(30)*11.45
    = 171.8 cm^2

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