Thank you for visiting In triangle ABC given C 96 2 circ b 11 2 text cm c 39 4 text cm Solve the triangle completely. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Final answer:
To solve â–³ABC, 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 â–³ABC 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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