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Question

Question 11 (ii)
S
tate whether the following are true or false. Justify your answer.
(ii) sec A = 125 for some value of angle A.

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Solution

Let a ΔABC in which B=90, AC be 12k and AB be 5k, where k is a positive real number.
By pythagoras theorem we get,
AC2=AB2+BC2
(12k)2=(5k)2+BC2
BC2+25k2=144k2
BC2=119k2
Such a triangle is possible as it will follow the pythagoras theorem.

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