In the following diagram, BC is tangent to circle O. Which of the following could be the missing side lengths? Select all that apply.

Question

dengeki_daisy · Answer

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dengeki_daisy · Answer

@jigglypuff314 can you help me with this, I don't know how to work this problem.

dengeki_daisy · Answer

Can someone help?

dengeki_daisy · Answer

I don't understand how to do this, can you explain

563blackghost · Answer

Since the question states that `it is tangent to the circle` that would mean that it is perpendicular so that would mean that this is a right triangle....we know of the hypotenuse's length which is `20` but not the legs so we can use Pythagorean Theorem....

$\Huge{a^{2}+b^{2}=20^{2}}$

$\Large{a^{2}}$ and $\Large{b^{2}}$ both have to equal the sum of $\Large{20^{2}}$ so we can substitute the answer choices as `a` and b`.

dengeki_daisy · Answer

Oh okay, so when I start plugging in my answer choices do I square them??

563blackghost · Answer

Yup :)

563blackghost · Answer

If the sum of the number equal $\Large{20^{2}}$ then they are an answer, if they don't then they are not.

dengeki_daisy · Answer

So 20 squared is the same as 400 right?

563blackghost · Answer

Yes.

dengeki_daisy · Answer

is A and D my answers