Question

Cassandra assigns values to some of the measures of triangle ABC. If angle A measures 30°, a = 6, and b = 18, which is true?

Answer 1

Answer:

The triangle does not exist because sin(A)/a can not be equal to sin(B)/b

Step-by-step explanation:

we know that

step 1

Find the measure of angle B

Applying the law of sines

$\frac{sin(A)}{a}=\frac{sin(B)}{b}$

we have

$A=30\°$

$sin(30\°)=1/2$

$a=6\ units$

$b=18\ units$

substitute

$\frac{(1/2)}{6}=\frac{sin(B)}{18}$

$\frac{1}{12}=\frac{sin(B)}{18}$

$sin(B)=\frac{18}{12}$

$sin(B)=\frac{3}{2}=1.5$

Remember that the value of sine can not be greater than 1

therefore

The triangle does not exist because sin(A)/a can not be equal to sin(B)/b