How many solutions are possible for a triangle with B=44, a=23 and b=12?

Question

Mathematics

Maren Gaines

1 May, 07:17

How many solutions are possible for a triangle with B=44, a=23 and b=12?

+4

Answers (1)

Know the Answer?

Hector Shepherd · Answer 1

B = 44 degrees

a = 23

b = 12

use law of sines to solve for angle A:

b/sinB = a/sinA

12/sin44 = 23/sinA

12sinA = 23*sin44

sinA = (23*sin44) / 12

sinA = 1.3314

since sinx is only defined for values between - 1 and 1 it is impossible to form a triangle with given the dimensions. hence no possible solutions