Ambition
State whether the given measurements determine zero, one, or two triangles.
A = 61°, a = 23, b = 24
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RadEn
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first, to get the measure of angle B, use the law of sine :
a sinB = b sinA
sinB = b sinA/a = 24*sin61°/23 = .... ?
RadEn
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after u got the value of sinB, take arc(sin) to get angle B
and dont forget use ur calculator :)
Ambition
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@RadEn calculator is broken
RadEn
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well, in my laptop it says the value of sin61 = 0.874
RadEn
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so, what 24 * 0.874° / 23 is = ...
Ambition
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@RadEn 0.912?
RadEn
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hehe, used calculator yea ?? :P
RadEn
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but, that's right
Ambition
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@RadEn no just used pen and paper
RadEn
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cool, it is hard for me :)
RadEn
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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)
RadEn
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*find
RadEn
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what's else ?
Ambition
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@RadEn find if there is one or two triangles
RadEn
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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
RadEn
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do u need the length of side c ??