Q. 93.7( 3 Votes )

If then find the value of tan θ.

Answer :


We know that,



Or



Let,


Base =BC = 4k


Hypotenuse =AC = 5k


Where, k ia any positive integer


So, by Pythagoras theorem, we can find the third side of a triangle


(AB)2 + (BC)2 = (AC)2


(AB)2 + (4k)2 = (5k)2


(AB)2 + 16k2 = 25k2


(AB)2 = 25 k2 –16 k2


(AB)2 = 9 k2


AB =9 k2


AB =±3k


But side AB can’t be negative. So, AB = 3k


Now, we have to find tan θ


We know that,



Side opposite to angle θ = BC =4k


Side adjacent to angle θ = AB =3k


So


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