Question

State whether the given measurements determine zero, one, or two triangles.

A = 61°, a = 23, b = 24

Answer 1

@Mertsj

Answer 2

@bahrom7893 ?

Answer 3

@RadEn

Answer 4

i can't think of those triangle identities.. satellite help us out, it's been ages since i've done geometry lol

Answer 5

I know there's a theorem that involves an angle and two sides

Answer 6

@satellite73

Answer 7

ok let's research this a bit and try this

Answer 8

@terenzreignz

Answer 9

@radar

Answer 10

Let's use the theory of sins

Answer 11

SinA/a = SinB/b = SinC/c
So in your case:
Sin61/23 = SinB/24

Answer 12

SinB = (24*Sin61)/23 = approximately 0.912

Answer 13

So there is only one?

Answer 14

Sorry was trying to find my calculator.. anyway, now if SinB = 0.912
B = ArcSin(0.912) which is about 65.78 degrees

Answer 15

This means that we have the following angles:
A = 61
B = 66
C = 180 - 61 - 66 = 53

Answer 16

So i guess only 1