Question

Find the length of BD, if CA = 4 cm, AD =2 cm and AB = 6 cm.

• A. 2 cm
• B. 4 cm
• C. 3 cm
• D. 2 cm

Answer 1

The correct option is C 3 cm


Perpendicular from right angle to hypotenuse divides the triangle into two similar triangles and these are similar to the whole triangle also.

$\therefore CAB\sim ADB$
$⟹\frac{CA}{AD}=\frac{AB}{DB}$
$\frac{4}{2}=\frac{6}{DB}$

$BD=3cm$