In the given figure, if AD = 12 cm, AE = 8 cm, and EC = 14 cm, then what is the value (in cm) of 3BD?
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Correct answer: C
Explanation
The correct answer is Option 3 i.e. 8.
Let BD = a cm
∠AED = ∠ABC = 70°
∠DAE = ∠BAE (common angle)
So, the third angle will also be equal.
△AED ~ △ABC
AD/AC = AE/AB
⇒ 12/22 = 8/(12 + a)
⇒ 72 + 6a = 88
⇒ a = 8/3
Thus, the value of 3BD = 3a = 3 × 8/3 = 8