Question

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

A = 61°, a = 23, b = 24

Answer 1

first, to get the measure of angle B, use the law of sine :
a sinB = b sinA
sinB = b sinA/a = 24*sin61°/23 = .... ?

Answer 2

after u got the value of sinB, take arc(sin) to get angle B
and dont forget use ur calculator :)

Answer 3

@RadEn calculator is broken

Answer 4

well, in my laptop it says the value of sin61 = 0.874

Answer 5

so, what 24 * 0.874° / 23 is = ...

Answer 6

@RadEn 0.912?

Answer 7

hehe, used calculator yea ?? :P

Answer 8

but, that's right

Answer 9

@RadEn no just used pen and paper

Answer 10

cool, it is hard for me :)

Answer 11

okay, then we have to fine angle B
sinB = 0.192
B = arc(sin(0.192)) = 11.069 degrees = 11.07 deg (it is nearest)

Answer 12

*find

Answer 13

what's else ?

Answer 14

@RadEn find if there is one or two triangles

Answer 15

i think it is just one triangle, by verify the measure of angle C
C = 180 - (A+B)
C = 180 - (61+11.07)
C = 180 - 72.07
C = 107.93 degrees

only one possible for angle C

Answer 16

do u need the length of side c ??