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 and open AI invited myself and my son Imran here uh to try out some of their new technology and so we're curious about how good it might be at tutoring someone in math on KH Academy so let's get it started it's loading up all right make sure I can see our screen actually in 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 all right so I'm pretty sure this is the angle Alpha right here right F current correct now looking at
the triangle which side do you think is the hypotenuse um remember the hypoten I'm not totally sure I think 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 the 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 the duen that's absolutely correct now that you've identified all the sides relative to angle Alpha do you remember the formula for finding the sign of an angle in a right triangle yeah I know that um the sign is equal to the opposite over the hypotenuse perfect that's
absolutely right now can you apply that formula to find side Alpha and triangle using the lengths of the sides that we've identified okay so I mean you told me that seven this 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 we 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 at using the sign formula if you have any more questions feel
free to ask
