Question

How many solutions does a triangle with side lenths a=4 a=112 deegrees and b=9have

Answer 1

It has no solutions.

Using the Law of Sines, we set up:
$\frac{\sin{A}}{a}=\frac{\sin{B}}{b} \\ \\\frac{\sin{112}}{4}=\frac{\sin{B}}{9}$

Cross multiplying, we have:
9 sin 112 = 4 sin B

Divide both sides by 4:
$\frac{9\sin{112}}{4}=\frac{4\sin{B}}{4} \\ \\\frac{9\sin{112}}{4}=\sin{B} \\ \\2.086 = \sin{B}$

Since sine runs from -1 to 1, we know that there is no angle with a sine greater than 1.  This means there is no solution.

Answer 2

Answer:

0

Step-by-step explanation:

apex use the number form!!!