Question

State whether the given measurements determine zero, one, or two triangles
C=30 degrees , c=9, and a=18

Answer 1

@primeralph

Answer 2

My book says two but I only got 1 triangle (a right triangle)

Answer 3

\[\frac{ 9 }{ \sin 30 }=\frac{ 18 }{ sinA }\]

Answer 4

\[18=\frac{ 18 }{ sinA }\]

Answer 5

\[sinA=\frac{18}{18}=1\]

Answer 6

A=90

Answer 7

That's what I'm getting too.

Answer 8

30,60,90 triangle, by defintion, only one triangle, but could you argue that with the ambiguous cases of SSA that 180-90=90

Answer 9

and that additional 90 degrees+30=120 (less than that 180) so you can still make another triangle, but they're both the same triangle.....

Answer 10

Is my book counting those identical triangles as two triangles??

Answer 11

Yeah, I know what you mean. sin90 can only give 1 once without blowing the triangle out, so it should be 1 triangle since they ate similar.

Answer 12

yea....oh well stupid book

Answer 13

thnx anyways

Answer 14

Well, let's not say that just yet. Ask your professor though.

Answer 15

Independence day break .__.

Answer 16

Oh, cool/

Answer 17

one triangle