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Chapter 13: Q9. (page 706)

Solve triangle ABC using the given measurements if A=45,鈭�C=90and鈭�b=6. Round measure of sides to the nearest tenth and angles to nearest degree.

Short Answer

Expert verified

The solution for triangle ABC, isa=6,c=8.5andB=45掳.

Step by step solution

01

Step 1. Write down the given parameters of triangle.

The given triangle ABC is shown below whose parameters are represented as A=45,鈭�C=90and鈭�b=6.

02

Step 2. Calculation.

In triangle ABC, A=45,鈭�C=90and鈭�b=6. Therefore, B=45掳 by angle sum property.

Now 鈭�A=鈭�Bgives,....45掳鈥别补肠丑a=ba=6

Now, in isosceles right triangle ABC,

c=a2+b2鈥塯颈惫别蝉,c=62+62c=62c=8.5

03

Step 3. Conclusion.

Thesolution for triangle ABC, is a=6,c=8.5andB=45掳.

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