Consider the triangle below. Click on the picture to see it more clearly. In questions 1, 2 and 3 below, you are given 2 sides of a triangle and an angle opposite one of the sides. This is the so called "ambigous" case since it can give 0 triangle 1 triangle or 2 triangles. In each case determine the number of triangles possible with the given parts. (enter 0, 1 or 2) 1. a8, b= 12, A = 50° number of possible triangles: 2. a 13.6, b = 12, A = 41° number of possible triangles: 3. a 17.2, b = 25, A = 34° number of possible triangles:
Consider the triangle below. Click on the picture to see it more clearly. In questions 1, 2 and 3 below, you are given 2 sides of a triangle and an angle opposite one of the sides. This is the so called "ambigous" case since it can give 0 triangle 1 triangle or 2 triangles. In each case determine the number of triangles possible with the given parts. (enter 0, 1 or 2) 1. a8, b= 12, A = 50° number of possible triangles: 2. a 13.6, b = 12, A = 41° number of possible triangles: 3. a 17.2, b = 25, A = 34° number of possible triangles:
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
In questions 1, 2, and 3 below, you are given 2 sides of a triangle and an angle opposite one of the sides. This is the so-called "ambiguous" case since it can give 0 triangles, 1 triangle, or 2 triangles. In each case, determine the number of triangles possible with the given parts. (Enter 0, 1, or 2)
**1. a = 8, b = 12, A = 50°**
Number of possible triangles: [ ]
**2. a = 13.6, b = 12, A = 41°**
Number of possible triangles: [ ]
**3. a = 17.2, b = 25, A = 34°**
Number of possible triangles: [ ]
*Note: For each case, consider the Law of Sines and the possibility of forming the given triangle(s) based on the SSA (Side-Side-Angle) condition.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcdba5689-bc14-44c2-a025-6db7a798c6e6%2Ffc1e8589-5336-4cf9-bcf7-73d52c1c792e%2Fhrewxq_processed.png&w=3840&q=75)
Transcribed Image Text:**Triangle Ambiguity Exploration**
Consider the triangle below. Click on the picture to see it more clearly.
In questions 1, 2, and 3 below, you are given 2 sides of a triangle and an angle opposite one of the sides. This is the so-called "ambiguous" case since it can give 0 triangles, 1 triangle, or 2 triangles. In each case, determine the number of triangles possible with the given parts. (Enter 0, 1, or 2)
**1. a = 8, b = 12, A = 50°**
Number of possible triangles: [ ]
**2. a = 13.6, b = 12, A = 41°**
Number of possible triangles: [ ]
**3. a = 17.2, b = 25, A = 34°**
Number of possible triangles: [ ]
*Note: For each case, consider the Law of Sines and the possibility of forming the given triangle(s) based on the SSA (Side-Side-Angle) condition.*
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