Question

Question 7 2 pts For Oblique Triangle ABC with A =39º, a = 20, and b = 26, (without working out the problem) how many triangles could this information be describing? one triangle possibly of 0 or 2 triangles Question 8 2 pts For Oblique Triangle ABC with C =50°, a = 3, and c = 1, (without working out the problem) how many triangles could this information be describing? one triangle possibly of 0 or 2 triangles Question 9 2 pts For Oblique Triangle ABC with A=23º, b = 22.1, and a = 54.3, (without working out the problem) how many triangles could this information be describing? one triangle possibly of 0 or 2 triangles

Answer 1

7).

There are two possible solutions: Possible 1 Acute Scalene Triangle C=86.1030 b=26 20 Side a = 20 Side b = 26 Side c = 31.70685 Angle 2A = 39° = 0.68068 rad Angle zB = 54.897° = 54°53'48" = 0.95813 rad Angle C = 86.103° = 86°6'12" = 1.50279 rad A=390 C=31.707 B=54.8970

Possible 2 Obtuse Scalene Triangle C=15.8970 b=26 a=20 Side a = 20 Side b = 26 Side c = 8.70474 Angle ZA = 39° = 0.68068 rad Angle 2B = 125.103° = 125°6'12" = 2.18346 rad Angle C = 15.897° = 15°53'48" = 0.27745 rad A=39°c=8.7B5125.1030

8)

These three values can not be used to create an valid triangle.

9)

Obtuse Scalene Triangle C=147.850 b=22.1 -9-54.3 A-230 C=73.952 B=9.15° Side a = 54.3 Side b = 22.1 Side c = 73.95215 Angle A = 23° = 0.40143 rad Angle B = 9.15º = 9°9'1" = 0.1597 rad Angle 2C = 147.85° = 147°50'59" = 2.58046 rad