side b*
If you mean find side b which is opposite to angle B then by using the sine rule:
3*sin(17)/sin(56) = 1.058 rounded to 3 decimal places
Given side a = 3, angle A = 56° and angle B = 17°, find side b?
Obtuse scalene triangle:
b = 1.058
Law of Sines: b/sinA = a/sinA
b = a·sinB/sinA
= 3sin(17°)/sin(56°)
≅ 1.058 units
:-
b / sin B = a / sin A
b = a sin B / sin A
b = 3 sin 17° / sin 56°
b = 1•06
Sine rule...
a/sin A = b/sin B
b = a.sinB/sinA
b = 3 x sin 17/sin 56
b = 1.05
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Answers & Comments
If you mean find side b which is opposite to angle B then by using the sine rule:
3*sin(17)/sin(56) = 1.058 rounded to 3 decimal places
Given side a = 3, angle A = 56° and angle B = 17°, find side b?
Obtuse scalene triangle:
b = 1.058
Law of Sines: b/sinA = a/sinA
b = a·sinB/sinA
= 3sin(17°)/sin(56°)
≅ 1.058 units
:-
b / sin B = a / sin A
b = a sin B / sin A
b = 3 sin 17° / sin 56°
b = 1•06
Sine rule...
a/sin A = b/sin B
b = a.sinB/sinA
b = 3 x sin 17/sin 56
b = 1.05