Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

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Short Answer

Find the area of the triangle. Round answer to two decimal places.
$A = 70 °, B = 60 °, c = 4$

The area of the triangle is 8.50 square units.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information.

The given values are:

$\begin{array}{rcl} A & = & 70 ° \\ B & = & 60 ° \\ c & = & 4 \end{array}$

Step 2. Determine the third angle.

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.

$\begin{array}{rcl} A + B + C & = & 180 ° \\ 70 ° + 60 ° + C & = & 180 ° \\ C & = & 180 ° - 130 ° \\ C & = & 50 ° \end{array}$

Step 3. Determine the area of the triangle.

The area of a triangle is:

$K = \frac{c^{2} \sin A \sin B}{2 \sin C}$

Substitute the values in the above formula.

$\begin{array}{rcl} K & = & \frac{(4)^{2} \sin (70 °) \sin (60 °)}{2 \sin (50 °)} \\ K & = & \frac{16 (0.9397) (0.866)}{2 (0.766)} \\ K & = & 8.499009 . . . \\ K & \approx & 8.50 \end{array}$

Step 4. Conclusion.

The area of the triangle is 8.50 square units.

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

Find the area of the triangle. Round answer to two decimal places.
$A = 70 °, B = 60 °, c = 4$

Step by Step Solution

Step 1. Given information.

Step 2. Determine the third angle.

Step 3. Determine the area of the triangle.

Step 4. Conclusion.

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

Find the area of the triangle. Round answer to two decimal places.A=70°, B=60°, c=4

Step by Step Solution

Step 1. Given information.

Step 2. Determine the third angle.

Step 3. Determine the area of the triangle.

Step 4. Conclusion.

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Find the area of the triangle. Round answer to two decimal places.
$A = 70 °, B = 60 °, c = 4$