Will Medal! Suppose a triangle has sides a, b, and c, and the angle opposite of the side of length a is obtuse. What must be true? A. b^2 + c^2

Question

Will Medal!

Suppose a triangle has sides a, b, and c, and the angle opposite of the side of length a is obtuse. What must be true?

A. b^2 + c^2 < a^2
B. a^2 + b^2 < c^2
C. b^2 + c^2 > a^2
D. a^2 + c^2 < b^2

***My Answer: A***
Please Help!

anonymous · Answer

I am doubting myself... but I think I will go with A unless someone says otherwise. Help would be much appreciated!

zeesbrat3 · Answer

Well, it depends if you are looking at angles or side lengths

anonymous · Answer

I think that because we know that the angel is obtuse, we are looking at the side lengths?

zeesbrat3 · Answer

If you are talking about side lengths, then you should know that the sum of the legs of a triangle are always greater than the hypotenuse

anonymous · Answer

Oh ok! |dw:1434933309907:dw|
So from what you have told me make it choice A?

anonymous · Answer

*longest side length

zeesbrat3 · Answer

If I remember my geometry correctly, two legs are greater than the hypotenuse. However, I can't remember if that concept applies to all the lengths. So, with the little knowledge I gave you, if it even helped, I wish you luck :)

anonymous · Answer

Ok thank you! :) I'll tell you what the answer is when I hit submit very soon

anonymous · Answer

Ok yay A was correct!

zeesbrat3 · Answer

Good job!