Chapter 8: Q.8 (page 553)

Find the remaining angle(s) and side(s) of each triangle, if it (they) exists. If no triangle exists, say “No triangle.”
$A = 50, B = 30, a = 1$

Short Answer

Expert verified

The value of $C = 100, b = 0.652, c = 1.285$ ,

Step by step solution

Step 1. Given information

The given data is $A = 50, B = 30, a = 1$

Step 2. find the value C

Here, $A = 50, B = 30$

The sum of all the angles of a triangle is 180

$A + B + C = 180 50 + 30 + C = 180 C = 180 - 80 C = 100$

Step 3. Apply sine rule

sine rule states that, $\frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c}$

Here, $A = 50, B = 30, a = 1$

$\frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c} \frac{\sin 50}{1} = \frac{\sin 30}{b} = \frac{\sin 100}{c}$

Therefore, $\frac{\sin 50}{1} = \frac{\sin 30}{b} b = \frac{\sin 30}{\sin 50} = 0.652$

Again $\frac{\sin 50}{1} = \frac{\sin 100}{c} c = \frac{\sin 100}{\sin 50} = 1.28$

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Find the remaining angle(s) and side(s) of each triangle, if it (they) exists. If no triangle exists, say “No triangle.”
$A = 50, B = 30, a = 1$

Short Answer

Step by step solution

Step 1. Given information

Step 2. find the value C

Step 3. Apply sine rule

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Find the remaining angle(s) and side(s) of each triangle, if it (they) exists. If no triangle exists, say “No triangle.”A=50,B=30,a=1

Short Answer

Step by step solution

Step 1. Given information

Step 2. find the value C

Step 3. Apply sine rule

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Discrete Mathematics

Statistics

Logic and Functions

Pure Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Find the remaining angle(s) and side(s) of each triangle, if it (they) exists. If no triangle exists, say “No triangle.”
$A = 50, B = 30, a = 1$