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

Question

Suppose a triangle has sides a, b, and c, and the angle opposite the side of length a is obtuse. What must be true?

A. a^2 + c^2 < b^2

B. a^2 + b^2 < c^2

C. b^2 + c^2 > a^2

D. b^2 + c^2 < a^2

anonymous · Answer

@satellite73

anonymous · Answer

D i think

anonymous · Answer

@micheleee13 why do you think its D?

anonymous · Answer

cus A has to be the longest side so it's always greater than the other sides

anonymous · Answer

thats not necessarily true, not in all situations is a the longest side

anonymous · Answer

but A is opposite the obtuse angle so it has to be the longest side for a triangle

anonymous · Answer

cos(theta) being negative means theta is greater than 90 degrees... the triangle is obtuse...
so i think it's c

anonymous · Answer

well actually C and D could be equal...

anonymous · Answer

so now i'm more confused lol

anonymous · Answer

its a confusing question .