The converse of Pythagoras’ theorem states that:
Determine whether the following triangle is a right-angled triangle.
The longest side is \(34\text{ cm}\).
So, \(34^2=1\,156\).
Next,
\(\begin{aligned} 18^2+30^2&=324+900 \\\\&=1\,224. \end{aligned}\)
Thus, the triangle is not a right-angled triangle.
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