Chapter 8: Q. 7 (page 555)

In Problems 6–8, solve each triangle.
$a = 3, b = 7, A = 40 °$

Short Answer

Expert verified

We can't solve the triangle because there is no triangle.

Step by step solution

Step 1. Given Information

The given sides are $a = 3 and b = 7 .$ The given triangle is $40 ° .$ We have to solve the triangle.

Step 2. Solve

As we have given the two sides of the triangle and an angle. Therefore, the triangle is SSA triangle.

To solve the traingle we use the law of sines formula $\frac{\sin A}{a} = \frac{\sin B}{b}$

Substitute the values in the formula

$\frac{\sin 40 °}{3} = \frac{\sin B}{7} 0.214 ° = \frac{\sin B}{7} 1.49 ° = \sin B$

As we know that the angle of sine can't be more than one.

Thus, there is no triangle.

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In Problems 6–8, solve each triangle.
$a = 3, b = 7, A = 40 °$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Solve

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In Problems 6–8, solve each triangle.a=3,b=7,A=40°

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Solve

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Pure Maths

Discrete Mathematics

Probability and Statistics

Theoretical and Mathematical Physics

Decision Maths

Study anywhere. Anytime. Across all devices.

In Problems 6–8, solve each triangle.
$a = 3, b = 7, A = 40 °$