Question

The variables r and s represnet the lengths of the legs of a right triangle, and t represents the length of the hypotenuse. the values of r, s, and t form a pythagorean triple. find the value of s.
r=18
t=30

Answer 1

\[r ^{2}+s ^{2}=t ^{2}\rightarrow18^{2}+s ^{2}=30^{2}\rightarrow s ^{2}=30^{2}-18^{2}\rightarrow\]\[s ^{2}=576\rightarrow s = 24\]