Question

If l = 12 cm and m = 5 cm, what is the length of n?

Answer 1

diagram?

Answer 2

helpp

Answer 3

Pythagorean Theorem,
\(a^2+b^2=c^2\Rightarrow l^2+m^2=n^2\)

Answer 4

^yes
just put the values into the Pythagorean Theorem, \(a^2+b^2=c^2\), which in this case is \(l^2+m^2=n^2\)
\[(12)^2+(5)^2=n^2\]\[144+25=n^2\]\[169=n^2\]\[\sqrt{169}=\sqrt{n^2}\]\[13=n\]and so , the third side, \(n\), is \(13cm\)