Question 11 (ii) State 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.