Question

Determine the number of possible solutions for a triangle with A = 57, a = 11, and b = 19.

Answer 1

0

Explanation:

Using the sine rule:

`(a)/(\sin A)=(b)/(\sin B)`

We substitute the values to get:

`(11)/(\sin 57)=(19)/(\sin B)`

We simplify to get:

`\sin B=(19 \sin 57)/(11)`

`\sin B=1.45`

But we know that the range of the sine function is [-1,1].

This means that, it is not possible to form a triangle with the given measures;