Question 53 – 1.4 A: Proof - AQA A Level Maths Questions

A structural engineer is designing a triangular support frame where the side lengths are $p, q$ and $r$ , with $\in \mathbb{Z}^+$ . The frame forms a right-angled triangle where $r$ is the length of the hypotenuse, such that $p^2 + q^2 = r^2$ .

State an example of a set of values for $p, q$ and $r$ such that they are all multiples of 10.

Prove by contradiction that it is impossible for both $p$ and $q$ to be non-multiples of 3 if $r$ is a multiple of 3.

State an example of a set of values for $p, q$ and $r$ such that they are all multiples of 10.

Prove by contradiction that it is impossible for both $p$ and $q$ to be non-multiples of 3 if $r$ is a multiple of 3.

1.4 A: Proof

Question 43

1.4 A: Proof

Question 43

1.4 A: Proof

Question 43

1.4 A: Proof Questions

1.4 A: Proof

Question 43

1.4 A: Proof Questions