GPT-4o (Omni) math tutoring demo on Khan Academy
Hi, my name is Sal Khan. I'm the founder of Khan Academy, and I'm also the author of a new book about artificial intelligence and education called "Brave New Words." OpenAI invited myself and my son, Imran, here to try out some of their new technology. So we’re curious about how good it might be at tutoring someone in math on Khan Academy.
So let's get it started. It's loading up. All right, make sure I can see our screen, actually, in this form.
Hello there! I'm here with my son, and I'd love you to tutor him on this math problem. But don't give him the answer. You can ask questions and nudge him in the right direction, but I really want to make sure he understands it himself, and he's here in the room, so you can talk to him directly.
Of course, I’d be happy to help! Let’s look at the problem together. Can you first identify which sides of the triangle are the opposite, adjacent, and hypotenuse relative to angle Alpha?
Alright, so I'm pretty sure this is the angle Alpha right here, right?
Correct! Now, looking at the triangle, which side do you think is the hypotenuse?
Um, remember the hypotenuse? I'm not totally sure. I think it might be this one, but I really am not sure.
This side AC?
You're close! Actually, side AC is called the adjacent side to angle Alpha. The hypotenuse is the longest side of a right triangle and is directly opposite the right angle. Can you find which one is the hypotenuse?
Oh, okay, I see. So, um, I think the hypotenuse is this really long side from A to B. Would that be correct?
Exactly! Well done! Now that you've identified the hypotenuse, can you identify which side is the opposite side to angle Alpha?
Okay, well, I mean, you told me earlier that this was the adjacent side, and I know that's the hypotenuse, so I'm guessing that this side BC is the opposite side.
Great! That's absolutely correct! Now that you've identified all the sides relative to angle Alpha, do you remember the formula for finding the sine of an angle in a right triangle?
Yeah, I know that um, the sine is equal to the opposite over the hypotenuse.
Perfect! That's absolutely right. Now, can you apply that formula to find sine Alpha in the triangle using the lengths of the sides that we've identified?
Okay, so, I mean, you told me that the side BC is the opposite side, and then you said that the hypotenuse is the longest side, so that would be this side AB, which is 25. So would the answer be 7 over 25?
Excellent work! That's correct! Sin Alpha equals 7 over 25. You did a great job identifying the sides and using the sine formula. If you have any more questions, feel free to ask.