Whenever someone says right triangle,
always think of \(a^{2} + b^{2} =c^{2}\) first.
If the third side is not hypotenuse, it is either \(a\) or \(b\), and it doesn't matter which one.
let's plug in what we have:
\(72^{2} + b^{2} =97^{2}\)
\(b^{2} =97^{2} - 72^{2}\)
\(b^{2} =9409 - 5184\)
\(b = \sqrt{9409 - 5184}\)
\(b = \sqrt{4225}\)
\(b = 65\)
Therefore, the third base is 65 cm.
Also, by the way, we know that 97cm is the hypotenus, as hypotenuse is always the longest side in right triangles.
