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Algebra 2
Found in: Page 707
Algebra 2

Algebra 2

Book edition Middle English Edition
Author(s) Carter
Pages 804 pages
ISBN 9780079039903

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Short Answer

Solve triangle ABC using the given measurements if B=27,C=90 and b=7. Round measure of sides to the nearest tenth and angles to nearest degree.

The solution for triangle ABC is a=13.7,c=15.4 and A=63°.

See the step by step solution

Step by Step Solution

Step 1. Write down the given parameters of triangle.

The given triangle ABC is shown below whose parameters are represented as B=27,C=90 and b=7.

Step 2. Calculation.

In triangle ABC, B=27,C=90 and b=7. Therefore, A=63° by angle sum property.

Now, trigonometric ratios,


Now, in right triangle ABC by Pythagoras Theorem.

c2=a2+b2 gives,15.42=a2+72a2=15.4272a=15.4272a=13.7

Step 3. Conclusion.

The solution for triangle ABC, is a=13.7,c=15.4 and A=63°.

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