Exam-Style Question on Proof
A mathematics exam-style question with a worked solution that can be revealed gradually
Question id: 149. This question is similar to one that appeared on a GCSE Higher paper (specimen) for 2017. The use of a calculator is allowed.
(a) Give a reason why 0 is an even number.
(b) The lengths of the sides of a right-angled triangle are all integers. Prove that if the lengths of the two shortest sides are even, then the length of the third side must also be even.
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