Chapter 8: Q.13 (page 553)

find the remaining angle(s) and side(s) of each triangle, if it (they) exists. If no triangle exists, say “No triangle.” $a = 2, b = 3, c = 1$

Short Answer

Expert verified

No triangle

Step by step solution

Step 1. Given information

The given data is $a = 2, b = 3, c = 1$

Step 2. Find the angle A

Use cosines Rule, $\cos A = \frac{b^{2} + c^{2} - a^{2}}{2 b c}$

Here, $a = 2, b = 3, c = 1$

$\cos A = \frac{3^{2} + 1^{2} - 2^{2}}{2.3.1} \cos A = \frac{10 - 4}{6} \cos A = 1 A = 0$

Step 3. Conclusion

One of the angle is 0, which is not possible.

So, the sides cannot form triangle

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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.” $a = 2, b = 3, c = 1$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the angle A

Step 3. Conclusion

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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=2,b=3,c=1

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the angle A

Step 3. Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Probability and Statistics

Applied Mathematics

Logic and Functions

Decision Maths

Geometry

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.” $a = 2, b = 3, c = 1$