Given the two points A(3,7) and B(5,2) find C so that triangle ABC is a right triangle with the right angle at C. How long are the legs? How long is the hypotenuse?

Question

asnaseer · Answer

what have you tried so far?

anonymous · Answer

Nothing....I've just looked at it on the graph. My teacher did not teach me how to do this in any way. Is there a name for it? Maybe I can look in a book, if I knew what the title was of this type of question....

anonymous · Answer

I'm thinking C is (3,2) but that's just by looking at it. And if that is true, how do I calculate  the lengths?

asnaseer · Answer

so, if you plot the points A and B on an x/y graph, then you should be able to spot where to place C so that it represents the 90 degree angle of triangle ABC. Can you please draw what you have done so far?

asnaseer · Answer

C at (3,2) seems to be correct

asnaseer · Answer

you should be able to find at least the length of the legs fairly easily from the plot

anonymous · Answer

|dw:1346879692095:dw| well...I can find BC but I'm not sure how to find AB