Study the given figure and answer the question that follows.
Find the length of AB in the given triangle, if it is given that the length of BD is 4 unit.
Answer & explanation
Correct answer: option 4
In the given triangle
\(\Delta \)ABC is similar to \(\Delta \)ADE
Then according to the theorem
Sides, \(\frac{AD}{AB}\) = \(\frac{DE}{BC}\)
= Let the length of AB x units.
= \(\frac{AB\;+\;BD}{AB}\) = \(\frac{DE}{BC}\)
= \(\frac{x\; + \;4}{x}\) = \(\frac{6}{3}\)
= 3x + 12 = 6x
= 12 = 3x
= x = 4
Therefore, the length of AB is 4 units.