How do you determine whether triangle ABCABC has no, one, or two solutions given A=131^circ, a=15, b=32A=131,a=15,b=32?

1 Answer
Jul 15, 2018

No solution with the given measurements.

Explanation:

hat A = 131^@, a = 15, b = 32ˆA=131,a=15,b=32

"Since side " b " is greater than side " a, hat B " is to be greater than " hat Asince side b is greater than side a,ˆB is to be greater than ˆA

"But '" hat A = 131^@, " and hence " hat B " to be greater than " 131^@But 'ˆA=131, and hence ˆB to be greater than 131

"Since sum of the three angles of a triangle is to be " 180^@, " we cannot form a triangle with the given measurements"since sum of the three angles of a triangle is to be 180, we cannot form a triangle with the given measurements