Trig laws

Given the area ABC=7.52m©÷. Find a, when m¡ÐB=40¡Æ and c=6m.

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  1. Given
    Area of triangle ABC=7.52 m²
    ∠B=40°
    c=6 m
    Need to find a.

    We can use the trigonometric formula for area, namely
    Area=(1/2)ac(sin(B))
    which can be solved to give
    a=(2*Area)/(c*sin(B))
    =(2*7.52)/(6*sin(40°))

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