Q. 145.0( 2 Votes )

In a right hypotenuse AC = 10 cm and A = 60°, then find the length of the remaining sides.

Answer :


Given: A = 60o and AC = 10cm


Now,


Now, we know that



BC = 53 cm


In right angled ∆ABC , we have


(AB)2 + (BC)2 =(AC)2 [by using Pythagoras theorem]


(AB)2 + (5√3)2 = (10)2


(AB)2 +(25×3) =100


(AB)2 +75 = 100


(AB)2 = 100 – 75


(AB)2 = 25


AB =25


AB = ±5


AB = 5cm [taking positive square root since, side cannot be negative]


Length of the side AB = 5cm and BC =53 cm


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