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Answer :
Final answer:
To solve △ABC, calculate the length of side 'a' using the law of cosines and then calculate the angles A and B using the law of sines. Substituting the given values into the formula will provide the solutions.
Explanation:
To solve the triangle △ABC completely, first, use the law of cosines to calculate the length of the remaining side 'a'. The formula for the law of cosines is a²=b²+c²-2bcCos(γ), where γ is the angle C. Substituting the given values: a² = (11.2cm)²+(39.4cm)²-2*(11.2cm)*(39.4cm)*Cos(96.2°). Solve this to find the value of 'a'.
Next, use the law of sines to calculate the remaining angles A and B. The formula for the law of sines is a/Sin(A)=b/Sin(B)=c/Sin(C). Use these formulas to solve for angles A and B.
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