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Proven Potential TMUA Sample Paper 1 · Q11

Paper 1GeometrySequences & series

Three sides of a right angle triangle are of a geometric progression, what is the hypotenuse of the triangle in terms of the shortest length aa, where the common ratio r>1r>1?

A1+52a\frac{1+\sqrt5}{2}a
B1−52a\frac{1-\sqrt5}{2}a
C1+52a\sqrt{\frac{1+\sqrt5}{2}}a
D5−12a\frac{\sqrt5-1}{2}a
E5−12a\sqrt{\frac{\sqrt5-1}{2}}a

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