Question

Liberal Arts Math

Answer 1

you can use pythagoras, or you might already know this triangle

Answer 2

one way is to compute
\[a^2+b^2=c^2\] with
\[9^2+12^2=c^2\] and solve for \(c\)

Answer 3

the other thing you might could do is recognize this as a 3 4 5 right triangle, only all the sides are four times as long

Answer 4

I got 225

Answer 5

i guess i should say 3 times as long
\[3\times 3=9\\

3\times 4=12\\
3\times 5=?\]

Answer 6

15

Answer 7

yeah it is like the last one you had, but the \(225\) is \(c^2\) so \(c=\sqrt{225}\)

Answer 8

you found it!