A right triangle has one side of length 7 and a hypotenuse of length 10. How long is the third side of the triangle?

Question

anonymous · Answer

a^2+b^2=c^2
pythagorean's theorem, plug and chug

anonymous · Answer

can you do the rest?

anonymous · Answer

Oh I get it! I think

anonymous · Answer

So like 7^2+10^2 = c^2?

anonymous · Answer

alright, the equation is 10^2=7^2+b^2
incase you need to check your work
100 = 49 +b^2
b^2 = 51
b = sqrt(51)

anonymous · Answer

c has to be hypotenuse, a and b are the adjacent/opposite sides of the right triangle

anonymous · Answer

Oh and all I have to do is square root 51?

anonymous · Answer

yep, do you see how i arrived at it though?

anonymous · Answer

Yeah I think so. Since a and b are adjacent sides and c is the hypotenuse you just plug in what you already have which is a and c

anonymous · Answer

you got it

anonymous · Answer

and the rest of it works out

anonymous · Answer

Thank you! :D