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ABC is a triangle and D is a point on the side BC. If BC =12 cm, BD = 9 cm and ∠ADC = ∠BAC, then the length of AC is equal to? 
A) 5 cm B) 6 cm C) 8 cm D) 9 cm Correct Answer : 6 cm Explanation : In ΔBAC and ΔADC ∠ADC = ∠BAC (Given) The ratio of sides is also equal. 
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In △ABC, the angle bisector of ∠A cuts BC at E. Find length of AC, if lengths of AB, BE and EC are 9 cm, 3.6 cm and 2.4 cm? 
A) 5.4 cm B) 8 cm C) 4.8 cm D) 6 cm Correct Answer : 6 cm Explanation : In △ABC, the angle bisector of ∠A cuts BC at E then according to the angle bisect theorem AB / AC = BE / EC 
In a triangle, the length of the opposite side of the angle which measures 45° is 8√2 cm, what is the length of the side opposite to the angle which measures 90°? 
A) 16 cm B) 4√3 cm C) 8√3 cm D) 6√3 cm Correct Answer : 16 cm Explanation : △ABC is a right angle triangle AC = 16 cm 
In the given figure, ∠CAB = 90° and AD⊥BC. If AC = 85 cm, AB = 1.35 m and BC = 2.25m , then AD=? 
A) 61 cm B) 67 cm C) 57 cm D) 51 cm Correct Answer : 51 cm Explanation : In , ∆ BDA ~ ∆ BAC 