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expeople1 [14]
3 years ago
8

Is this tangent to the circle?

Mathematics
2 answers:
galina1969 [7]3 years ago
7 0
If you are asking about AB, Then in order to be a tangent to the circle the m(A) should be equal to 90 degrees. So we have to test it, if measure of angle "A" is 90 or not. Since the 3 sides lengths were given, I guess they want you to use Pyt<span>hagorean theorem which says the following:
hyp^{2}= adj^{2}+opposite^{2}
hypotenuse in here is the 16 unit length side, the adjacent is AB and  the opposite is the diameter with length of 6.4  unit length.
if 16^{2} = 6.4^{2}+9.6^{2} then m(A)= 90 degrees and it will be a tangent.
16^{2}=256
6.4^{2} + 9.6^{2}=40.96+92.16=133.12 
so the theorem is not applicable in this situation so the m(A) \neq 90 degrees
therefore AB is not a tangent</span>
erica [24]3 years ago
5 0
Hello,

Yes since (2*6.4)²+9.6²=256=16²
Angle A=90°
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