help me asap fan and medal!!

Question

ganeshie8 · Answer

Hi

song_of_the_sole · Answer

in the following diagram, BC is tangent to circle O. which of the following could be the missing side lengths? select all that apply (up to 2 answers)
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8 and 12
8 and sq root of 21
12 and 14
10 and sq root 10 3
14 and sq root 4 51

ganeshie8 · Answer

Please stick to one question per post

song_of_the_sole · Answer

im sorry im just really in a rush...

song_of_the_sole · Answer

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8 and 4 sq 3
2 and 4 sq root 2
3 and 5
2 and 2 sq root 5
6 and 10

song_of_the_sole · Answer

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39
56
61
78

paxpolaris · Answer

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radius perpendicular to tangent.

using the pythagorean theorem only 1 choice should work

song_of_the_sole · Answer

and which would that be?

paxpolaris · Answer

$$20^2=400$$
$$400 = 100 +300$$

paxpolaris · Answer

$$c^2=a^2+b^2 $$

paxpolaris · Answer

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this is the same principle

song_of_the_sole · Answer

so to clarify what would be the answer?

paxpolaris · Answer

$$400=100+300$$$$\Large \implies 20^2 = 10^2 +\left( 10\sqrt3 \right)^2$$

The answer is $10$ and $10\sqrt3 $

song_of_the_sole · Answer

ohh okay... and what about the other one?

paxpolaris · Answer

the 2nd on is just 

a 3-4-5 right triangle

song_of_the_sole · Answer

pretty sure

paxpolaris · Answer

ok
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what's the question  with this one?

song_of_the_sole · Answer

the polygon circumscribes the circle. which of the following is the perimeter of the polygon?

song_of_the_sole · Answer

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