Question 684320: In the right triangle ABC, AB is 10 m, AC is 24 m, BC is 26 m. Give all the possible names of each of the following ratios.
a) 10/26
b) 10/24
c) 24/26
d) 24/10
can you please explain this to me ? thanks in advance
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In the right triangle ABC, AB is 10 m, AC is 24 m, BC is 26 m. Give all the possible names of each of the following ratios.
a) 10/26
b) 10/24
c) 24/26
d) 24/10
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AB is opposite angle C
AC is opposite angle B
BC is opposite angle A
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Draw the right triangle with BC as the hypotenuse
AC as the base and AB as the height.
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a) 10/26 = AB/BC = height/hypotenuse = sin(C) or cos(B)
b) 10/24 = AB/AC = height/base = tan(C)
c) 24/26 = AC/BC = base/hypotenuse = cos(C) or sin(B)
d) I'll leave this one to you
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Cheers,
Stan H.
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