It’s the question with a triangle:
(RS)^2 + (ST)^2 = (RT)^2
so the answer is D. But I chose B because -
if it is right triangle it is a^2 + b^2 = c^2. However, because it is turned into an obtuse triangle, wouldn’t the hypotenuse just get bigger? because at 90 a^2 + b^2 is equal to c^2 and now that it’s obtuse the hypotenuse would get bigger making this answer B? or so I thought
Hey there, I’m not able to answer your questions directly, but I can tell you how I solved the problem. My natural instinct is to use the triangle inequality theorem: the sum of any two sides of a triangle must be greater than the third.
Then, choose some numbers for RS = ?, ST = ? and RT = ?, while making sure the triangle inequality holds RS+ST>RT.
Then, see what they do to RS^2 + ST^2 and RT^2.
What you said is correct, but you’re not accounting for the fact that the triangle could be acute too (despite what it looks like). If they mentioned that the triangle was obtuse, then what you chose would be the correct answer.
It’s better to use the converse of pythag than triangle inequality here because it’s a “stronger” result. I’m just mentioning it in case you were curious.
