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

Question

asked Jul 1, 2021 229k views

1 Answer

Hichamx · Answer 1 · 2021-07-07T02:54:22+0000

Answer:

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;