Chapter 8: Q.9 (page 553)

Find the remaining angle(s) and side(s) of each triangle, if it (they) exists. If no triangle exists, say “No triangle.”
$A = 100, a = 5, c = 2$

Short Answer

Expert verified

No triangle exists

Step by step solution

Step 1. Given information

The given data from the graph is $A = 100^{°}, a = 5, c = 2$

Step 2. Find angle C

Applying the law of sines

$\frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c} \frac{\sin 100}{5} = \frac{\sin B}{b} = \frac{\sin C}{2} \frac{\sin 100}{5} = \frac{\sin C}{2} \sin C = 2 \frac{\sin 100}{5} \sin C = 0.39 C = 23 . 2^{\circ}$

Step 3. Find angle b

By Pythagoras theorem, $c^{2} = a^{2} + b^{2}$

$c^{2} = a^{2} + b^{2} 4 = 25 + b^{2} b^{2} = - 21 b = \sqrt{- 21}$

Which is not possible

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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.”
$A = 100, a = 5, c = 2$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find angle C

Step 3. Find angle b

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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=100,a=5,c=2

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find angle C

Step 3. Find angle b

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Decision Maths

Theoretical and Mathematical Physics

Logic and Functions

Discrete Mathematics

Statistics

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.”
$A = 100, a = 5, c = 2$