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18 February, 20:32

In triangle ABC, B=17 55', C=98 15' and a=17. What is the length of c?

a. 26.2

b. 14.3

c. 22.4

d. 18.7

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Answers (2)
  1. 18 February, 21:34
    0
    18.7

    Step-by-step explanation:

    Correct on edg2020
  2. 18 February, 22:24
    0
    Option d. 18.7 units

    Step-by-step explanation:

    step 1

    we have

    B=17° 55'=17+55/60=17.92°

    C=98° 15'=98+15/60=98.25°

    step 2

    Find the measure of angle A

    ∠A+∠B+∠C=180°

    substitute

    ∠A+17.92°+98.25°=180°

    ∠A=180° - (17.92°+98.25°) = 63.83°

    step 3

    Applying the law of sines

    c/sin (C) = a/sin (A)

    substitute the values

    c/sin (98.25°) = 17/sin (63.83°)

    c=sin (98.25°) * 17/sin (63.83°)

    c=18.7 units
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