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12 June, 21:59

In triangle ABC m∠A 25 m∠b = 55 and c=25 find b round your answer to the nearest tenth

A. 10.7

B. 12.9

C. 48.5

D. 20.8

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Answers (1)
  1. 12 June, 23:47
    0
    Given are the following:

    m∠A = 25

    m∠B = 55

    c = 25

    First, get the value of m∠C by getting the third angle of a triangle. We all know that it should sum up to 180. So we have,

    180 - 25 - 55 = m∠C = 100

    After getting the value of m∠C and its opposite side is given, we can use the law of sine to find of b

    c / m∠C = b / m∠B

    25 / sin 100 = b / sin 55 ⇒ substituting the given values to the equation

    25 (sin 55) / sin 100 = b ⇒ simplify

    20.79 = b

    b = 20.8 ⇒ answer (D)
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