Question 11 (ii)
State whether the following are true or false. Justify your answer.
(ii) sec A = 125 for some value of angle A.
True. Let's see how -
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
144k2=BC2+25k2
BC2=119k2
Such a triangle is possible as it will follow the Pythagoras theorem.