Question

If in given figure $AD=2$ cm, then value of $AB$ ( in cm ) is

• A. 2
• B. 3
• C. 7
• D. 1

Answer 1

The correct option is A 2

Given, $AD\perp CE$, $\angle ACD={45}^{\circ }$, $AD=2$
Now, In $△ADC$
$\tan \angle ACD=\frac{P}{B}=\frac{AD}{CD}$
$\tan 45=\frac{2}{CD}$
$CD=2=AB$

$AB=2$ cm