Year 8 Maths
Pythagoras
Mixed Problems
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Questions
Question 1
201395
For each triangle, decide whether the side asked for is the hypotenuse or a shorter side.
(i) In \(\triangle ABC\), \(\angle ABC = 90^\circ\), \(AB = 6\) and \(BC = 8\). Is \(AC\) the hypotenuse or a shorter side?(ii) In \(\triangle PQR\), \(\angle PQR = 90^\circ\), \(PR = 13\) and \(QR = 5\). Is \(PQ\) the hypotenuse or a shorter side?
(iii) Find the length of \(PQ\).
Part a:
A shorter side: subtract the squares
The hypotenuse: add the squares
Correct
The hypotenuse: subtract the squares
A shorter side: add the squares
Part b:
The hypotenuse: add the squares
The hypotenuse: subtract the squares
A shorter side: subtract the squares
Correct
A shorter side: add the squares
Part c:
12
1 mark
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