Question

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

Answer 1

No solution with the given measurements.

Explanation:

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

`"Since side " b " is greater than side " a, hat B " is to be greater than " hat A`

`"But '" hat A = 131^@, " and hence " hat B " 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"`