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?

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Answer 1

A) The triangle does not exist

Explanation:

got it right on edge :)

Answer 2

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

Explanation:

we know that

step 1

Find the measure of angle B

Applying the law of sines

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

we have

`A=30\°`

`sin(30\°)=1/2`

`a=6\ units`

`b=18\ units`

substitute

`((1/2))/(6)=(sin(B))/(18)`

`(1)/(12)=(sin(B))/(18)`

`sin(B)=(18)/(12)`

`sin(B)=(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